Math 111, Fri, Aug 26, 2011

1.3 - Lines and slopes...

Learn Math Equation:(t x,t y:t - 2,t 2:t 0,t 5:t 2,t 8:t 4,t 1 1:t 8,t 1 8)t

Learn Math Graph:400 400 -3.185000043362379 1.0 10.814999956637621 4.199999984353781 1.0 18.19999998435378 g true Point -2.0 2.0 Point 0.0 5.0 Point 4.0 11.0 Point 2.0 8.0 Freehand 69 -1.995 2.1 -1.995 2.135 -1.995 2.135 -1.995 2.135 -1.995 2.135 -1.995 2.135 -1.995 2.135 -1.9599999 2.135 -1.9250001 2.135 -1.9250001 2.135 -1.89 2.135 -1.8550001 2.135 -1.8550001 2.135 -1.82 2.135 -1.7500001 2.135 -1.7149998 2.1 -1.61 2.1 -1.5399998 2.0649998 -1.505 2.0649998 -1.4 2.0299997 -1.3649999 2.0299997 -1.33 2.0299997 -1.295 1.9949999 -1.2600001 1.9949999 -1.225 1.9949999 -1.1900002 1.9599999 -1.1549999 1.9599999 -1.12 1.925 -1.0849999 1.925 -1.0500001 1.925 -0.9449998 1.8900001 -0.8749999 1.8549998 -0.84000003 1.8549998 -0.7700001 1.8549998 -0.735 1.8199999 -0.6999999 1.8199999 -0.63 1.8199999 -0.59500015 1.8199999 -0.525 1.8199999 -0.41999996 1.7849998 -0.35000002 1.7849998 -0.31500018 1.7849998 -0.27999985 1.8199999 -0.20999992 1.8199999 -0.17500007 1.8199999 -0.13999999 1.8199999 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5.775 10.955 5.81 10.955 5.81 10.955 5.8450003 10.955 5.88 10.955 5.88 10.955 5.88 10.955 5.915 10.955 5.95 10.955 5.95 10.955 5.95 10.955 5.985 10.955 5.985 10.955 6.02 10.955 6.02 10.955 6.02 10.955 6.0550003 10.955 6.0550003 10.955 6.09 10.955 6.09 10.955 6.09 10.955 6.09 10.955 6.125 10.955 6.125 10.955 6.125 10.955 6.16 10.955 6.16 10.955 6.16 10.955 6.195 10.955 6.195 10.955 6.23 10.955 6.23 10.955 6.2650003 10.955 6.3 10.955 6.335 10.955 6.335 10.955 6.37 10.955 6.405 10.955 6.475 10.955 6.545 10.92 6.58 10.92 6.58 10.92 6.615 10.92 6.65 10.92 6.685 10.92 6.685 10.92 6.7200003 10.92 6.7200003 10.92 6.755 10.92 6.755 10.92 6.755 10.92 6.755 10.92 6.79 10.92 6.79 10.92 6.825 10.92 6.86 10.92 6.895 10.92 6.9300003 10.92 6.965 10.92 7.035 10.92 7.07 10.92 7.105 10.92 7.175 10.92 7.245 10.92 7.28 10.92 7.315 10.92 7.315 10.92 7.35 10.92 7.35 10.92 7.385 10.92 7.385 10.92 7.42 10.92 7.42 10.92 7.42 10.92 7.42 10.92 7.42 10.92 7.455 10.92 7.455 10.92 7.455 10.92 7.455 10.92 7.455 10.92 7.49 10.92 7.49 10.92 7.49 10.92 7.49 10.92 7.5249996 10.92 7.5249996 10.92 7.5249996 10.92 7.5249996 10.92 7.5600004 10.92 7.5600004 10.92 7.5600004 10.955 7.5950003 10.955 7.5950003 10.955 7.63 10.955 7.63 10.955 7.665 10.92 7.665 10.92 7.7 10.92 7.7 10.92 7.7 10.92 7.735 10.92 7.735 10.92 7.77 10.92 7.77 10.92 7.8050003 10.92 7.875 10.92 7.875 10.92 7.875 10.92 7.91 10.92 7.91 10.955 7.9449997 10.955 7.9449997 10.955 7.98 10.955 8.015 10.955 8.015 10.955 8.015 10.955 8.015 10.955 8.05 10.955 8.05 10.955 8.05 10.955 8.05 10.955 8.05 10.955 8.05 10.955 8.085 10.955 8.085 10.955 8.085 10.955 8.085 10.955 8.085 10.955 8.085 10.955 8.085 10.955 8.085 10.955 8.085 10.955 8.085 10.955 8.120001 10.955 8.120001 10.955 8.120001 10.955 8.120001 10.955 8.120001 10.955 8.120001 10.955 8.120001 10.955 8.120001 10.955 8.120001 10.955 8.120001 10.955 8.120001 10.955 Color red Freehand 172 7.9449997 17.779999 7.9449997 17.744999 7.9449997 17.744999 7.9449997 17.744999 7.98 17.744999 7.98 17.71 7.98 17.71 7.98 17.71 8.015 17.675 8.015 17.675 8.015 17.64 8.015 17.64 8.05 17.605 8.05 17.57 8.05 17.535 8.05 17.535 8.05 17.5 8.05 17.43 8.05 17.395 8.085 17.36 8.085 17.29 8.085 17.255001 8.085 17.22 8.085 17.185 8.085 17.08 8.085 17.045 8.120001 16.975 8.120001 16.939999 8.085 16.869999 8.085 16.8 8.085 16.765 8.085 16.695 8.05 16.59 8.05 16.52 8.05 16.45 8.05 16.415 8.05 16.345 8.05 16.275 8.05 16.24 8.05 16.17 8.05 16.135 8.05 16.064999 8.05 16.029999 8.05 15.96 8.05 15.889999 8.015 15.855 8.015 15.785 8.015 15.715 8.015 15.68 8.015 15.61 8.015 15.54 8.015 15.505 8.015 15.434999 8.015 15.4 8.015 15.33 7.98 15.26 7.98 15.225 7.98 15.155 7.98 15.085 7.9449997 14.945 7.9449997 14.875 7.9449997 14.805 7.91 14.735 7.91 14.63 7.91 14.559999 7.91 14.525 7.91 14.455 7.875 14.42 7.875 14.349999 7.875 14.245 7.875 14.175 7.875 14.105 7.875 14.035 7.875 13.965 7.875 13.93 7.875 13.86 7.875 13.755 7.875 13.719999 7.875 13.684999 7.875 13.615 7.875 13.545 7.875 13.474999 7.875 13.44 7.875 13.405 7.875 13.335 7.875 13.3 7.875 13.264999 7.875 13.195 7.875 13.16 7.875 13.09 7.875 13.054999 7.875 12.985 7.875 12.95 7.875 12.915 7.875 12.88 7.875 12.844999 7.875 12.809999 7.875 12.74 7.875 12.705 7.875 12.67 7.875 12.635 7.875 12.565 7.875 12.53 7.875 12.495 7.84 12.46 7.84 12.389999 7.84 12.355 7.875 12.32 7.875 12.285 7.875 12.285 7.875 12.25 7.875 12.215 7.875 12.215 7.875 12.18 7.875 12.1449995 7.875 12.1449995 7.875 12.11 7.875 12.075 7.875 12.04 7.875 12.005 7.875 12.005 7.875 11.969999 7.875 11.934999 7.875 11.9 7.875 11.9 7.875 11.865 7.875 11.83 7.875 11.83 7.875 11.795 7.875 11.795 7.875 11.76 7.875 11.724999 7.875 11.724999 7.875 11.69 7.875 11.69 7.875 11.655 7.875 11.62 7.875 11.62 7.875 11.585 7.875 11.55 7.875 11.514999 7.875 11.48 7.875 11.48 7.875 11.445 7.875 11.41 7.875 11.41 7.875 11.375 7.875 11.34 7.875 11.34 7.875 11.304999 7.91 11.2699995 7.91 11.235 7.91 11.235 7.91 11.2 7.91 11.2 7.91 11.165 7.91 11.165 7.91 11.13 7.91 11.095 7.91 11.059999 7.875 11.025 7.875 11.025 7.875 11.025 7.875 11.025 7.875 10.99 7.875 10.99 7.91 10.99 7.91 10.99 7.91 10.99 7.91 10.99 7.91 10.99 7.91 10.99 Color red Freehand 67 4.165 11.059999 4.2 11.059999 4.235 11.025 4.235 11.025 4.3050003 11.025 4.34 11.025 4.375 11.025 4.41 10.99 4.48 10.99 4.585 10.99 4.62 10.99 4.69 10.99 4.83 10.99 4.8650002 10.99 5.005 10.955 5.11 10.955 5.145 10.955 5.215 10.99 5.32 10.99 5.355 10.99 5.425 10.99 5.46 10.99 5.495 10.99 5.53 10.99 5.565 10.955 5.6 10.955 5.67 10.955 5.67 10.955 5.7400002 10.955 5.7400002 10.955 5.775 10.955 5.81 10.955 5.8450003 10.955 5.8450003 10.955 5.88 10.955 5.88 10.955 5.88 10.955 5.915 10.955 5.915 10.955 5.95 10.955 5.95 10.955 5.985 10.955 5.985 10.955 6.02 10.92 6.02 10.92 6.0550003 10.92 6.0550003 10.92 6.0550003 10.92 6.0550003 10.92 6.0550003 10.92 6.0550003 10.92 6.09 10.92 6.09 10.92 6.09 10.92 6.125 10.92 6.125 10.92 6.125 10.92 6.125 10.92 6.125 10.92 6.125 10.92 6.125 10.92 6.125 10.92 6.125 10.92 6.125 10.92 6.125 10.92 6.125 10.92 6.125 10.92 Color red Freehand 67 4.06 11.095 4.0950003 11.025 4.0950003 11.025 4.0950003 11.025 4.0950003 11.025 4.0950003 11.025 4.13 11.025 4.165 11.025 4.2 11.025 4.235 11.025 4.27 11.025 4.3050003 11.025 4.34 11.025 4.375 11.025 4.445 11.059999 4.48 11.059999 4.585 11.059999 4.69 11.059999 4.725 11.095 4.76 11.095 4.83 11.095 4.8650002 11.095 4.9 11.095 4.9700003 11.095 5.005 11.095 5.075 11.059999 5.145 11.059999 5.1800003 11.059999 5.25 11.059999 5.32 11.059999 5.39 11.025 5.46 11.025 5.495 11.025 5.53 11.025 5.565 11.025 5.6 11.025 5.635 11.025 5.635 11.025 5.67 11.025 5.705 10.99 5.7400002 10.99 5.7400002 10.99 5.775 10.99 5.775 10.99 5.775 10.99 5.81 10.99 5.81 10.99 5.8450003 10.99 5.8450003 10.955 5.88 10.955 5.88 10.955 5.915 10.955 5.915 10.955 5.95 10.955 5.95 10.92 6.02 10.92 6.02 10.92 6.0550003 10.92 6.0550003 10.92 6.09 10.885 6.125 10.885 6.125 10.885 6.16 10.885 6.16 10.885 6.16 10.92 6.16 10.92 6.16 10.92 Color red Freehand 12 3.99 10.71 4.025 10.745 4.025 10.745 4.025 10.78 4.025 10.78 4.025 10.78 4.025 10.815 4.025 10.815 4.025 10.849999 4.025 10.849999 4.025 10.849999 4.025 10.849999 Color blue Freehand 283 4.13 11.095 4.165 11.059999 4.2 11.059999 4.235 11.059999 4.27 11.059999 4.3050003 11.025 4.34 11.025 4.375 11.025 4.41 11.025 4.445 11.025 4.515 10.99 4.55 10.99 4.585 10.99 4.62 10.955 4.655 10.955 4.69 10.955 4.725 10.955 4.76 10.92 4.795 10.92 4.83 10.92 4.8650002 10.92 4.935 10.885 5.04 10.885 5.075 10.885 5.11 10.885 5.145 10.885 5.1800003 10.885 5.25 10.885 5.285 10.885 5.32 10.885 5.39 10.885 5.425 10.849999 5.46 10.849999 5.495 10.849999 5.53 10.849999 5.6 10.849999 5.635 10.885 5.67 10.885 5.705 10.885 5.775 10.885 5.81 10.885 5.8450003 10.849999 5.88 10.849999 5.915 10.849999 5.95 10.849999 5.985 10.849999 5.985 10.849999 6.0550003 10.849999 6.0550003 10.849999 6.09 10.849999 6.09 10.849999 6.125 10.849999 6.125 10.849999 6.16 10.849999 6.16 10.849999 6.16 10.849999 6.16 10.849999 6.195 10.849999 6.195 10.849999 6.195 10.849999 6.195 10.849999 6.195 10.849999 6.195 10.849999 6.195 10.849999 6.195 10.849999 6.195 10.849999 6.195 10.849999 6.195 10.849999 6.195 10.849999 6.195 10.849999 6.195 10.849999 6.195 10.849999 6.195 10.849999 6.195 10.849999 6.195 10.849999 6.195 10.849999 6.195 10.849999 6.195 10.849999 6.195 10.849999 6.195 10.885 6.195 10.885 6.23 10.885 6.23 10.92 6.23 10.955 6.23 10.955 6.23 10.99 6.23 11.059999 6.23 11.095 6.23 11.13 6.23 11.235 6.23 11.2699995 6.23 11.375 6.2650003 11.41 6.2650003 11.48 6.2650003 11.585 6.2650003 11.62 6.2650003 11.655 6.3 11.76 6.3 11.795 6.3 11.9 6.335 11.969999 6.335 12.005 6.335 12.075 6.335 12.1449995 6.335 12.18 6.335 12.215 6.335 12.25 6.335 12.285 6.335 12.32 6.335 12.355 6.335 12.389999 6.335 12.425 6.335 12.46 6.335 12.53 6.335 12.565 6.335 12.599999 6.335 12.635 6.335 12.67 6.37 12.705 6.37 12.74 6.37 12.809999 6.37 12.844999 6.37 12.88 6.37 12.915 6.335 12.95 6.335 13.0199995 6.335 13.054999 6.335 13.125 6.335 13.23 6.3 13.264999 6.3 13.3 6.3 13.37 6.3 13.405 6.2650003 13.44 6.2650003 13.474999 6.2650003 13.51 6.2650003 13.58 6.2650003 13.615 6.23 13.65 6.23 13.719999 6.23 13.719999 6.23 13.755 6.195 13.79 6.195 13.79 6.195 13.825 6.195 13.825 6.195 13.86 6.195 13.8949995 6.195 13.8949995 6.195 13.8949995 6.195 13.93 6.195 13.93 6.195 13.93 6.195 13.965 6.195 13.965 6.195 14.0 6.195 14.0 6.195 14.035 6.195 14.07 6.195 14.07 6.16 14.105 6.16 14.139999 6.16 14.139999 6.16 14.175 6.16 14.175 6.16 14.21 6.16 14.21 6.16 14.245 6.16 14.245 6.16 14.245 6.16 14.28 6.16 14.28 6.16 14.28 6.16 14.28 6.125 14.245 6.125 14.245 6.125 14.21 6.09 14.21 6.09 14.175 6.0550003 14.105 6.02 14.07 6.02 14.035 5.915 13.965 5.915 13.93 5.88 13.93 5.88 13.8949995 5.88 13.8949995 5.8450003 13.8949995 5.8450003 13.8949995 5.8450003 13.8949995 5.8450003 13.93 5.8450003 13.93 5.8450003 13.965 5.8450003 14.0 5.8450003 14.035 5.8450003 14.035 5.8450003 14.07 5.88 14.105 5.88 14.105 5.88 14.105 5.915 14.105 5.915 14.139999 5.95 14.139999 5.95 14.139999 5.985 14.139999 6.02 14.139999 6.02 14.139999 6.0550003 14.139999 6.09 14.139999 6.09 14.105 6.09 14.105 6.09 14.07 6.09 14.035 6.0550003 14.0 6.0550003 13.965 6.02 13.965 6.02 13.93 5.985 13.93 5.985 13.93 5.95 13.93 5.95 13.8949995 5.915 13.8949995 5.915 13.93 5.915 13.93 5.915 13.965 5.915 14.035 5.915 14.07 5.95 14.139999 5.95 14.139999 5.985 14.175 5.985 14.175 6.02 14.175 6.02 14.175 6.0550003 14.21 6.0550003 14.21 6.09 14.175 6.09 14.175 6.09 14.105 6.0550003 14.07 6.0550003 14.035 6.0550003 14.0 6.02 13.965 6.02 13.93 5.985 13.93 5.95 13.8949995 5.915 13.8949995 5.915 13.8949995 5.88 13.8949995 5.88 13.8949995 5.8450003 13.8949995 5.8450003 13.8949995 5.8450003 13.93 5.8450003 13.93 5.8450003 13.965 5.8450003 14.0 5.8450003 14.035 5.88 14.035 5.88 14.07 5.915 14.07 5.95 14.105 5.95 14.139999 5.985 14.139999 5.985 14.139999 6.02 14.139999 6.02 14.139999 6.02 14.105 6.02 14.07 6.02 14.035 6.02 14.0 6.02 14.0 5.985 13.965 5.985 13.93 5.985 13.93 5.95 13.8949995 5.915 13.8949995 5.915 13.8949995 5.915 13.93 5.915 13.965 5.915 14.0 5.95 14.035 5.95 14.07 5.985 14.105 5.985 14.105 Color blue Freehand 255 6.02 14.139999 6.02 14.175 6.02 14.175 6.0550003 14.175 6.0550003 14.21 6.09 14.21 6.09 14.21 6.125 14.21 6.195 14.21 6.23 14.21 6.2650003 14.21 6.335 14.21 6.37 14.21 6.44 14.21 6.475 14.21 6.58 14.21 6.65 14.21 6.685 14.21 6.755 14.175 6.825 14.175 6.86 14.175 6.9300003 14.175 7.0 14.139999 7.035 14.139999 7.105 14.139999 7.175 14.105 7.21 14.105 7.28 14.105 7.35 14.07 7.385 14.07 7.49 14.035 7.5249996 14.035 7.5600004 14.0 7.5600004 14.0 7.5950003 14.0 7.63 14.0 7.63 13.965 7.7 13.965 7.7 13.93 7.735 13.93 7.735 13.93 7.735 13.93 7.735 13.93 7.735 13.93 7.735 13.93 7.735 13.93 7.735 13.93 7.735 13.93 7.735 13.93 7.735 13.93 7.735 13.93 7.735 13.93 7.735 13.93 7.735 13.93 7.735 13.93 7.735 13.93 7.735 13.93 7.735 13.93 7.735 13.93 7.735 13.93 7.735 13.93 7.735 13.93 7.735 13.93 7.735 13.93 7.735 13.93 7.735 13.93 7.735 13.93 7.735 13.93 7.735 13.93 7.735 13.93 7.77 13.965 7.77 14.0 7.77 14.035 7.77 14.105 7.77 14.175 7.77 14.21 7.77 14.28 7.77 14.349999 7.77 14.385 7.735 14.455 7.735 14.49 7.77 14.525 7.77 14.559999 7.77 14.63 7.8050003 14.665 7.84 14.735 7.84 14.7699995 7.875 14.805 7.875 14.875 7.91 14.945 7.91 15.014999 7.91 15.05 7.9449997 15.12 7.9449997 15.155 7.9449997 15.295 7.9449997 15.33 7.9449997 15.4 7.9449997 15.469999 7.9449997 15.54 7.9449997 15.61 7.9449997 15.6449995 7.9449997 15.715 7.98 15.785 7.98 15.855 8.015 15.924999 8.015 15.96 8.05 16.029999 8.05 16.1 8.085 16.135 8.085 16.205 8.120001 16.24 8.120001 16.275 8.155001 16.345 8.155001 16.380001 8.190001 16.45 8.190001 16.485 8.190001 16.52 8.225 16.555 8.225 16.59 8.225 16.625 8.225 16.66 8.225 16.73 8.225 16.8 8.225 16.835 8.225 16.835 8.225 16.869999 8.225 16.904999 8.225 16.939999 8.225 16.975 8.225 16.975 8.225 17.01 8.225 17.045 8.225 17.045 8.225 17.08 8.225 17.08 8.225 17.115 8.225 17.115 8.225 17.115 8.225 17.15 8.225 17.15 8.225 17.15 8.225 17.15 8.225 17.15 8.225 17.185 8.225 17.185 8.225 17.185 8.225 17.185 8.225 17.185 8.225 17.185 8.225 17.185 8.225 17.185 8.190001 17.185 8.190001 17.15 8.190001 17.15 8.155001 17.115 8.120001 17.045 8.085 17.045 8.05 17.01 8.05 16.975 8.015 16.939999 7.98 16.939999 7.98 16.904999 7.9449997 16.904999 7.9449997 16.904999 7.9449997 16.904999 7.9449997 16.904999 7.9449997 16.904999 7.9449997 16.904999 7.9449997 16.939999 7.9449997 16.939999 7.9449997 16.975 7.9449997 17.01 7.98 17.045 7.98 17.045 8.015 17.08 8.015 17.08 8.015 17.08 8.05 17.08 8.05 17.08 8.085 17.08 8.120001 17.08 8.155001 17.08 8.155001 17.08 8.190001 17.08 8.190001 17.08 8.190001 17.045 8.190001 17.045 8.190001 17.01 8.190001 17.01 8.155001 16.975 8.155001 16.975 8.120001 16.939999 8.085 16.939999 8.085 16.939999 8.05 16.939999 8.05 16.939999 8.015 16.939999 8.015 16.939999 7.98 16.939999 7.98 16.975 7.98 16.975 7.98 16.975 7.9449997 17.01 7.9449997 17.01 7.9449997 17.01 7.9449997 17.045 7.98 17.045 8.015 17.08 8.015 17.08 8.05 17.08 8.085 17.115 8.120001 17.115 8.155001 17.115 8.190001 17.115 8.225 17.08 8.225 17.045 8.225 17.045 8.225 17.01 8.225 16.975 8.225 16.939999 8.190001 16.939999 8.190001 16.904999 8.155001 16.904999 8.120001 16.869999 8.085 16.869999 8.085 16.869999 8.05 16.904999 8.015 16.904999 8.015 16.904999 8.015 16.939999 8.015 16.975 8.015 17.01 8.015 17.01 8.05 17.045 8.05 17.045 8.085 17.08 8.085 17.08 8.120001 17.08 8.155001 17.08 8.155001 17.08 8.190001 17.08 8.225 17.08 8.225 17.045 8.225 17.045 8.225 17.045 8.225 17.01 8.225 17.01 8.225 16.975 8.225 16.975 8.190001 16.939999 8.190001 16.939999 8.155001 16.939999 8.155001 16.939999 8.120001 16.939999 8.120001 16.939999 Color blue Freehand 30 9.345 17.36 9.31 17.325 9.275 17.325 9.24 17.325 9.205 17.325 9.17 17.29 9.135 17.29 9.1 17.255001 9.065001 17.255001 9.030001 17.255001 8.995001 17.22 8.96 17.22 8.89 17.185 8.855 17.185 8.785 17.15 8.75 17.15 8.715 17.115 8.68 17.115 8.645 17.115 8.645 17.115 8.610001 17.08 8.575001 17.08 8.575001 17.08 8.575001 17.08 8.575001 17.08 8.54 17.08 8.54 17.08 8.54 17.08 8.54 17.08 8.54 17.08 Color blue Freehand 31 8.715 17.36 8.68 17.36 8.645 17.36 8.645 17.36 8.610001 17.325 8.575001 17.325 8.54 17.29 8.47 17.22 8.435 17.185 8.435 17.15 8.4 17.115 8.4 17.115 8.4 17.08 8.4 17.08 8.365 17.045 8.365 17.045 8.365 17.01 8.4 16.975 8.4 16.975 8.4 16.939999 8.435 16.939999 8.47 16.939999 8.47 16.939999 8.54 16.904999 8.54 16.904999 8.575001 16.904999 8.575001 16.904999 8.610001 16.904999 8.645 16.904999 8.645 16.869999 8.645 16.869999 Color blue Freehand 66 8.190001 17.045 8.155001 16.975 8.155001 16.939999 8.120001 16.939999 8.120001 16.904999 8.085 16.904999 8.085 16.869999 8.05 16.869999 8.05 16.869999 8.015 16.869999 7.98 16.904999 7.9449997 16.904999 7.91 16.939999 7.91 16.975 7.91 17.01 7.91 17.01 7.91 17.045 7.91 17.045 7.9449997 17.08 7.98 17.08 8.015 17.08 8.05 17.08 8.085 17.08 8.155001 17.08 8.190001 17.08 8.225 17.08 8.225 17.08 8.26 17.045 8.225 17.01 8.190001 16.975 8.120001 16.904999 8.085 16.869999 8.05 16.869999 8.015 16.869999 7.98 16.869999 7.98 16.869999 7.9449997 16.869999 7.9449997 16.869999 7.9449997 16.904999 7.9449997 16.939999 7.9449997 16.975 7.9449997 16.975 7.9449997 17.01 7.98 17.045 7.98 17.08 8.015 17.08 8.015 17.115 8.05 17.115 8.085 17.115 8.085 17.115 8.120001 17.115 8.155001 17.115 8.155001 17.115 8.155001 17.08 8.190001 17.08 8.190001 17.045 8.190001 17.01 8.155001 17.01 8.155001 16.975 8.120001 16.939999 8.085 16.939999 8.05 16.939999 8.05 16.939999 8.05 16.939999 8.015 16.939999 8.015 16.939999 Color blue

slope: change in y / change in x (rise / run)

Learn Math Equation: m =(/ y(_ 2)_ - y(_ 1)_,/ x(_ 2)_ - x(_ 1)_)/ for Learn Math Equation:(( - 2 , 2)) ,(( 0 , 5)), Learn Math Equation: m =(/ 5 - 2,/ 0 -(( - 2)))/ =(/ 3,/ 2)/ up three each time I go 2 to the right (down three each time I go 2 to the left)

Learn Math Graph:400 400 -7.0 1.0 7.0 -7.0 1.0 7.0 g true Line 0.0 0.0 1.0 1.0 Point 2.0 2.0 Point 3.0 3.0 Point 4.0 4.0 Point -1.0 -1.0 Point -2.0 -2.0 Point -3.0 -3.0 Point 0.0 0.0 Color blue Point 2.0 1.0 Color blue Point 4.0 2.0 Color blue Point 6.0 3.0 Color blue Point -2.0 -1.0 Color blue Point -4.0 -2.0 Color blue Point -6.0 -3.0 Color blue Line 0.0 0.0 2.0 1.0 Color blue Point 0.0 0.0 Color red Point 1.0 3.0 Color red Point 2.0 6.0 Color red Point -1.0 -3.0 Color red Line 1.0 3.0 2.0 6.0 Color red Line 0.0 0.0 2.0 0.0 Color red Line 0.0 0.0 0.0 4.0 Color blue Line 0.0 0.0 -1.0 2.0 Color red

Learn Math Equation: y = 2 x - 3 This line has a slope of 2...

If you write a line as Learn Math Equation: y = m x + b, then the m is the slope.

We can find the slope of Learn Math Equation: 2 x - 3 y = 8

Learn Math Equation: - 3 y = - 2 x + 8

Learn Math Equation: y =(/ 2,/ 3)/ x -(/ 8,/ 3)/ so Learn Math Equation: m =(/ 2,/ 3)/

Also note that when x=0 then Learn Math Equation: y = -(/ 8,/ 3)/ and the point Learn Math Equation:(( 0 , -(/ 8,/ 3)/)) is the y-intercept

because of this.. Learn Math Equation: y = m x + b is called "slope-intercept" form of the line

Learn Math Graph:400 400 -7.0 1.0 7.0 -7.0 1.0 7.0 g true Freehand 212 0.035 -2.625 0.035 -2.5900002 0.035 -2.5900002 0.035 -2.5900002 0.035 -2.5900002 0.035 -2.5900002 0.035 -2.5900002 0.035 -2.5900002 0.035 -2.5900002 0.035 -2.5900002 0.035 -2.5900002 0.035 -2.5900002 0.035 -2.5900002 0.035 -2.5900002 0.035 -2.5900002 0.035 -2.5900002 0.035 -2.625 0.035 -2.625 0.0 -2.625 0.0 -2.625 0.0 -2.6599998 0.0 -2.6599998 0.0 -2.6599998 0.0 -2.6599998 0.0 -2.6599998 0.0 -2.6599998 0.0 -2.6599998 0.035 -2.6599998 0.035 -2.6599998 0.035 -2.625 0.035 -2.625 0.07 -2.625 0.07 -2.625 0.07 -2.625 0.07 -2.625 0.07 -2.625 0.07 -2.6599998 0.07 -2.6599998 0.07 -2.6599998 0.07 -2.695 0.035 -2.695 0.035 -2.695 0.035 -2.73 0.0 -2.73 0.0 -2.73 0.0 -2.73 -0.035 -2.73 -0.035 -2.73 -0.035 -2.73 -0.035 -2.73 -0.035 -2.73 -0.035 -2.73 -0.035 -2.695 -0.035 -2.695 -0.035 -2.695 0.0 -2.6599998 0.0 -2.6599998 0.0 -2.6599998 0.0 -2.6599998 0.035 -2.6599998 0.035 -2.6599998 0.035 -2.6599998 0.035 -2.6599998 0.035 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5.9500003 1.3299999 5.9500003 1.2950001 5.9500003 1.2950001 5.9500003 1.2950001 5.9500003 1.2950001 5.9500003 1.2950001 5.9500003 1.2950001 5.9500003 1.3299999 5.9500003 1.3299999 5.9500003 1.3299999 5.9500003 1.3299999 5.9500003 1.365 5.985 1.365 5.985 1.365 5.985 1.4 5.985 1.4 6.02 1.4 6.02 1.4 6.02 1.4 6.02 1.4 6.02 1.4 6.02 1.4 6.02 1.4 6.02 1.365 6.02 1.365 6.02 1.365 6.02 1.3299999 6.02 1.3299999 6.02 1.2950001 6.02 1.2950001 5.985 1.2950001 5.985 1.26 5.985 1.26 5.985 1.26 5.985 1.26 5.9500003 1.26 5.9500003 1.26 5.9500003 1.26 5.9500003 1.2950001 5.9500003 1.2950001 5.9500003 1.2950001 5.9500003 1.3299999 5.9500003 1.365 5.9500003 1.365 5.9500003 1.4 5.9500003 1.4 5.985 1.4 5.985 1.4 5.985 1.4 5.985 1.4 5.985 1.4 5.985 1.365 6.02 1.365 6.02 1.365 6.02 1.3299999 6.02 1.3299999 6.02 1.2950001 6.02 1.26 5.985 1.225 5.985 1.225 5.985 1.19 5.9500003 1.19 5.9500003 1.19 5.9500003 1.19 5.915 1.19 5.915 1.19 5.915 1.225 5.915 1.26 5.915 1.26 5.915 1.2950001 5.9500003 1.3299999 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-5.8799996 -6.615 -5.8799996 -6.615 Color blue Freehand 9 -5.775 -6.51 -5.845 -6.545 -5.915 -6.58 -5.915 -6.615 -5.9500003 -6.615 -5.985 -6.65 -6.02 -6.685 -6.02 -6.72 -6.02 -6.72 Color blue Point 1.0 -2.0 Color red Point 4.0 0.0 Color red Point 7.0 2.0 Color red Point -2.0 -4.0 Color red Point -5.0 -6.0 Color red

We call Learn Math Equation: a x + b y = c "General" form of a line

"Point-slope" form looks like: Learn Math Equation: y - y(_ 1)_ = m(( x - x(_ 1)_))

Using this we can quickly write a line through Learn Math Equation:(( 1 , - 2)) with slope Learn Math Equation:(/ 2,/ 3)/

Learn Math Equation: y + 2 =(/ 2,/ 3)/(( x - 1)) and switch to slope intercept

Learn Math Equation: y =(/ 2,/ 3)/ x -(/ 2,/ 3)/ - 2

Learn Math Equation: y =(/ 2,/ 3)/ x -(/ 8,/ 3)/

You but a copier for $18,000 and it has linear depreciation for 15 years - at which time its scrap value is $3,000.

Learn Math Graph:400 400 -7.0 1.0 7.0 -7.0 1.0 7.0 g false Freehand 195 -4.655 5.985 -4.69 6.02 -4.69 6.02 -4.69 6.02 -4.69 6.02 -4.655 5.985 -4.655 5.9500003 -4.655 5.81 -4.655 5.635 -4.655 5.565 -4.69 5.3199997 -4.69 5.0750003 -4.725 4.795 -4.725 4.5499997 -4.725 4.4449997 -4.725 4.34 -4.76 4.235 -4.76 4.1299996 -4.76 4.025 -4.76 3.7800002 -4.795 3.57 -4.83 3.43 -4.83 3.325 -4.83 3.1850002 -4.83 3.045 -4.83 2.9399998 -4.865 2.8 -4.865 2.695 -4.865 2.555 -4.865 2.45 -4.9 2.205 -4.9 2.1000001 -4.9 1.995 -4.935 1.8549999 -4.935 1.645 -4.97 1.4 -4.97 1.19 -4.97 0.94500005 -5.0049996 0.7 -5.0049996 0.56 -5.0049996 0.45499998 -5.0049996 0.21 -5.0049996 0.105 -5.0049996 -0.105 -5.0049996 -0.21 -5.0049996 -0.28 -5.0049996 -0.49 -4.97 -0.66499996 -4.97 -0.73499995 -4.97 -0.94500005 -4.97 -1.12 -4.97 -1.225 -4.97 -1.3299999 -4.97 -1.4 -4.97 -1.505 -4.97 -1.61 -4.97 -1.785 -4.97 -1.96 -4.97 -2.135 -4.97 -2.205 -4.97 -2.2749999 -4.97 -2.345 -5.0049996 -2.415 -5.0049996 -2.555 -5.0049996 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-3.6399999 5.0049996 -3.6399999 5.0049996 -3.6399999 5.0049996 -3.6749997 5.0049996 -3.6749997 5.04 -3.6749997 5.04 -3.7099998 5.0750003 -3.7450001 5.11 -3.7800002 5.215 -3.885 5.25 -3.92 5.3199997 -3.955 5.355 -3.99 5.39 -4.025 5.39 -4.06 5.4249997 -4.095 5.4249997 -4.1299996 5.4249997 -4.1299996 5.39 -4.165 5.39 -4.2000003 5.355 -4.235 5.3199997 -4.3050003 5.25 -4.34 5.215 -4.375 5.145 -4.4449997 5.0750003 -4.515 5.0750003 -4.5499997 5.0750003 -4.5499997 5.0750003 -4.5499997 Freehand 32 6.0550003 -4.06 6.125 -4.095 6.125 -4.095 6.125 -4.095 6.125 -4.095 6.125 -4.095 6.16 -4.095 6.16 -4.1299996 6.16 -4.2000003 6.125 -4.235 6.125 -4.3050003 6.09 -4.375 6.0550003 -4.4449997 6.0550003 -4.515 6.02 -4.585 5.985 -4.655 5.985 -4.725 5.9500003 -4.76 5.9500003 -4.83 5.9500003 -4.83 5.985 -4.865 5.985 -4.865 6.02 -4.9 6.0550003 -4.9 6.125 -4.9 6.16 -4.9 6.23 -4.9 6.265 -4.9 6.2999997 -4.865 6.335 -4.865 6.3700004 -4.83 6.3700004 -4.83 Freehand 12 5.8799996 -4.3050003 5.8799996 -4.34 5.915 -4.34 5.915 -4.375 5.9500003 -4.375 5.985 -4.375 6.0550003 -4.375 6.125 -4.375 6.23 -4.375 6.2999997 -4.375 6.3700004 -4.375 6.3700004 -4.375 Freehand 34 -4.9 5.635 -4.935 5.6 -4.97 5.6 -4.97 5.6 -4.97 5.6 -4.97 5.6 -4.97 5.6 -4.97 5.6 -4.97 5.6 -4.97 5.635 -4.97 5.635 -4.935 5.67 -4.935 5.74 -4.9 5.81 -4.865 5.915 -4.795 6.02 -4.76 6.09 -4.725 6.09 -4.725 6.125 -4.655 6.16 -4.6200004 6.16 -4.6200004 6.16 -4.585 6.16 -4.5499997 6.16 -4.515 6.125 -4.515 6.09 -4.48 5.985 -4.4449997 5.9500003 -4.4449997 5.915 -4.41 5.8799996 -4.41 5.845 -4.375 5.81 -4.375 5.775 -4.375 5.775 Freehand 36 -6.475 6.2999997 -6.475 6.335 -6.475 6.335 -6.475 6.3700004 -6.475 6.3700004 -6.475 6.3700004 -6.475 6.3700004 -6.44 6.335 -6.405 6.23 -6.3700004 6.125 -6.3700004 6.0550003 -6.335 5.8799996 -6.335 5.81 -6.335 5.74 -6.2999997 5.635 -6.265 5.565 -6.265 5.53 -6.265 5.53 -6.265 5.53 -6.23 5.53 -6.1949997 5.565 -6.1949997 5.635 -6.16 5.705 -6.09 5.81 -6.0550003 5.915 -6.02 6.02 -5.985 6.125 -5.985 6.1949997 -5.9500003 6.265 -5.915 6.3700004 -5.915 6.405 -5.915 6.405 -5.915 6.405 -5.915 6.405 -5.915 6.405 -5.915 6.405 Freehand 18 -5.705 5.565 -5.74 5.6 -5.775 5.565 -5.775 5.565 -5.81 5.53 -5.845 5.46 -5.845 5.4249997 -5.8799996 5.355 -5.8799996 5.285 -5.915 5.1800003 -5.915 5.0750003 -5.8799996 5.04 -5.8799996 5.04 -5.845 5.0049996 -5.845 4.97 -5.81 4.97 -5.775 4.935 -5.775 4.935 Freehand 34 -5.355 5.53 -5.4249997 5.4249997 -5.46 5.39 -5.46 5.355 -5.4950004 5.3199997 -5.4950004 5.285 -5.53 5.25 -5.53 5.25 -5.53 5.215 -5.53 5.215 -5.53 5.215 -5.53 5.215 -5.4950004 5.215 -5.46 5.215 -5.46 5.215 -5.4249997 5.215 -5.39 5.215 -5.355 5.215 -5.355 5.215 -5.3199997 5.215 -5.3199997 5.1800003 -5.3199997 5.1800003 -5.3199997 5.11 -5.355 5.0750003 -5.39 5.04 -5.39 5.0049996 -5.4249997 5.0049996 -5.46 5.0049996 -5.46 4.97 -5.4950004 4.97 -5.4950004 4.97 -5.53 4.97 -5.53 5.0049996 -5.53 5.0049996 Freehand 19 -5.46 5.67 -5.46 5.635 -5.46 5.6 -5.46 5.6 -5.46 5.565 -5.46 5.53 -5.4950004 5.46 -5.4950004 5.4249997 -5.4950004 5.355 -5.46 5.25 -5.46 5.1800003 -5.46 5.11 -5.4249997 5.04 -5.4249997 4.97 -5.4249997 4.935 -5.39 4.865 -5.39 4.83 -5.39 4.795 -5.39 4.795 Freehand 17 -5.3199997 5.81 -5.285 5.775 -5.25 5.74 -5.25 5.705 -5.215 5.635 -5.1800003 5.565 -5.1800003 5.46 -5.145 5.355 -5.145 5.25 -5.145 5.145 -5.145 5.04 -5.145 4.935 -5.1800003 4.865 -5.1800003 4.795 -5.215 4.76 -5.215 4.725 -5.215 4.725 Freehand 19 5.6 -5.1800003 5.6 -5.145 5.565 -5.11 5.565 -5.11 5.565 -5.11 5.53 -5.145 5.4950004 -5.1800003 5.46 -5.25 5.4249997 -5.285 5.4249997 -5.355 5.39 -5.46 5.39 -5.53 5.39 -5.565 5.39 -5.67 5.4249997 -5.705 5.4249997 -5.74 5.46 -5.74 5.4950004 -5.775 5.4950004 -5.775 Freehand 12 5.915 -5.4249997 5.8799996 -5.46 5.845 -5.46 5.81 -5.4950004 5.81 -5.53 5.775 -5.565 5.74 -5.6 5.67 -5.705 5.67 -5.74 5.67 -5.775 5.635 -5.775 5.635 -5.775 Freehand 11 5.67 -5.46 5.705 -5.4249997 5.705 -5.46 5.705 -5.46 5.705 -5.4950004 5.74 -5.53 5.74 -5.565 5.775 -5.565 5.81 -5.6 5.81 -5.635 5.81 -5.635 Freehand 29 6.09 -5.39 6.125 -5.4249997 6.125 -5.4249997 6.16 -5.46 6.16 -5.46 6.16 -5.4950004 6.16 -5.53 6.16 -5.565 6.16 -5.635 6.16 -5.67 6.16 -5.705 6.16 -5.705 6.16 -5.74 6.16 -5.74 6.16 -5.74 6.16 -5.74 6.16 -5.705 6.16 -5.705 6.16 -5.67 6.16 -5.6 6.16 -5.53 6.1949997 -5.4950004 6.1949997 -5.46 6.23 -5.4249997 6.23 -5.39 6.265 -5.355 6.2999997 -5.355 6.2999997 -5.355 6.2999997 -5.355 Freehand 24 6.3700004 -5.11 6.405 -5.11 6.405 -5.11 6.44 -5.11 6.44 -5.11 6.44 -5.145 6.475 -5.1800003 6.475 -5.215 6.51 -5.25 6.51 -5.285 6.545 -5.355 6.545 -5.39 6.58 -5.4249997 6.58 -5.53 6.58 -5.6 6.58 -5.635 6.58 -5.775 6.545 -5.8799996 6.51 -5.8799996 6.51 -5.915 6.51 -5.9500003 6.475 -5.9500003 6.475 -5.9500003 6.475 -5.9500003 Freehand 22 -5.0049996 3.115 -5.0750003 3.08 -5.0750003 3.08 -5.11 3.115 -5.11 3.115 -5.11 3.115 -5.11 3.115 -5.11 3.115 -5.04 3.115 -4.97 3.1499999 -4.83 3.1850002 -4.76 3.1850002 -4.69 3.22 -4.6200004 3.22 -4.585 3.255 -4.5499997 3.255 -4.515 3.255 -4.48 3.255 -4.4449997 3.255 -4.4449997 3.22 -4.4449997 3.22 -4.4449997 3.22 Freehand 16 -6.58 3.29 -6.58 3.22 -6.615 3.1850002 -6.615 3.1499999 -6.615 3.08 -6.615 3.01 -6.615 2.9399998 -6.615 2.87 -6.65 2.835 -6.65 2.765 -6.65 2.695 -6.65 2.625 -6.65 2.5900002 -6.65 2.555 -6.65 2.555 -6.65 2.555 Freehand 40 -6.335 3.255 -6.3700004 3.22 -6.3700004 3.1850002 -6.405 3.1499999 -6.405 3.1499999 -6.405 3.115 -6.405 3.08 -6.405 3.08 -6.405 3.045 -6.3700004 3.045 -6.3700004 3.045 -6.335 3.045 -6.2999997 3.045 -6.265 3.045 -6.23 3.01 -6.23 3.01 -6.1949997 3.01 -6.16 2.9750001 -6.16 2.9399998 -6.125 2.87 -6.125 2.835 -6.125 2.73 -6.16 2.695 -6.16 2.6599998 -6.1949997 2.625 -6.1949997 2.625 -6.1949997 2.6599998 -6.23 2.695 -6.1949997 2.73 -6.1949997 2.8 -6.1949997 2.87 -6.16 2.9750001 -6.16 3.045 -6.125 3.115 -6.125 3.1499999 -6.09 3.22 -6.09 3.22 -6.0550003 3.255 -6.0550003 3.255 -6.0550003 3.255 Freehand 10 -5.8799996 2.73 -5.845 2.6599998 -5.845 2.6599998 -5.845 2.625 -5.845 2.5900002 -5.845 2.555 -5.845 2.52 -5.8799996 2.45 -5.8799996 2.45 -5.8799996 2.45 Freehand 28 -5.565 3.325 -5.6 3.29 -5.6 3.255 -5.635 3.255 -5.635 3.22 -5.67 3.1850002 -5.67 3.115 -5.705 3.01 -5.705 2.9750001 -5.705 2.9399998 -5.705 2.905 -5.67 2.905 -5.67 2.905 -5.635 2.905 -5.6 2.905 -5.53 2.9750001 -5.53 3.01 -5.53 3.045 -5.53 3.1499999 -5.565 3.22 -5.565 3.255 -5.6 3.29 -5.635 3.325 -5.635 3.325 -5.635 3.36 -5.635 3.36 -5.635 3.36 -5.635 3.36 Freehand 27 -5.3199997 3.36 -5.355 3.325 -5.39 3.29 -5.39 3.255 -5.4249997 3.22 -5.4249997 3.1499999 -5.4249997 3.08 -5.4249997 3.045 -5.4249997 2.9750001 -5.4249997 2.9399998 -5.39 2.905 -5.355 2.905 -5.355 2.905 -5.3199997 2.905 -5.285 2.9399998 -5.25 2.9750001 -5.25 3.01 -5.215 3.115 -5.215 3.1850002 -5.25 3.255 -5.285 3.29 -5.285 3.325 -5.3199997 3.36 -5.3199997 3.36 -5.355 3.395 -5.355 3.395 -5.355 3.395 Freehand 24 -5.0750003 3.395 -5.145 3.395 -5.145 3.395 -5.1800003 3.36 -5.215 3.325 -5.215 3.29 -5.25 3.255 -5.25 3.22 -5.25 3.1499999 -5.25 3.115 -5.25 3.045 -5.25 3.01 -5.25 2.9750001 -5.1800003 2.905 -5.11 2.905 -5.0750003 2.905 -5.0049996 2.905 -4.97 2.9750001 -4.9 3.08 -4.935 3.29 -4.935 3.325 -5.0049996 3.395 -5.04 3.4650002 -5.04 3.4650002 Freehand 129 -4.69 3.08 -4.655 3.045 -4.655 3.01 -4.655 3.01 -4.655 3.01 -4.655 2.9750001 -4.655 2.9750001 -4.655 2.9750001 -4.69 2.9750001 -4.69 2.9750001 -4.725 2.9750001 -4.725 2.9750001 -4.76 3.01 -4.795 3.01 -4.795 3.045 -4.795 3.045 -4.795 3.08 -4.76 3.115 -4.76 3.1499999 -4.69 3.1499999 -4.655 3.1850002 -4.6200004 3.1850002 -4.585 3.1850002 -4.585 3.1850002 -4.585 3.1850002 -4.585 3.1850002 -4.585 3.1850002 -4.585 3.1499999 -4.6200004 3.1499999 -4.6200004 3.1499999 -4.655 3.115 -4.725 3.08 -4.725 3.08 -4.76 3.08 -4.795 3.08 -4.795 3.08 -4.795 3.08 -4.795 3.115 -4.76 3.1850002 -4.725 3.255 -4.725 3.29 -4.655 3.36 -4.655 3.36 -4.6200004 3.395 -4.6200004 3.395 -4.6200004 3.36 -4.6200004 3.36 -4.6200004 3.255 -4.655 3.22 -4.655 3.1850002 -4.655 3.1499999 -4.69 3.115 -4.69 3.08 -4.725 3.08 -4.725 3.08 -4.76 3.045 -4.76 3.045 -4.76 3.045 -4.795 3.045 -4.795 3.045 -4.795 3.08 -4.795 3.08 -4.795 3.115 -4.83 3.115 -4.83 3.1499999 -4.795 3.1850002 -4.795 3.22 -4.76 3.255 -4.76 3.29 -4.725 3.29 -4.69 3.29 -4.69 3.325 -4.655 3.325 -4.6200004 3.325 -4.585 3.325 -4.5499997 3.29 -4.5499997 3.29 -4.515 3.255 -4.515 3.22 -4.515 3.1850002 -4.515 3.1499999 -4.515 3.1499999 -4.515 3.115 -4.5499997 3.08 -4.5499997 3.08 -4.585 3.08 -4.585 3.045 -4.6200004 3.045 -4.655 3.045 -4.655 3.045 -4.69 3.08 -4.69 3.08 -4.725 3.1499999 -4.725 3.1850002 -4.725 3.1850002 -4.69 3.22 -4.69 3.255 -4.655 3.255 -4.655 3.29 -4.6200004 3.29 -4.585 3.325 -4.5499997 3.325 -4.5499997 3.325 -4.48 3.29 -4.48 3.29 -4.4449997 3.255 -4.4449997 3.255 -4.4449997 3.22 -4.4449997 3.1850002 -4.4449997 3.1499999 -4.48 3.1499999 -4.48 3.115 -4.515 3.115 -4.5499997 3.08 -4.585 3.08 -4.6200004 3.08 -4.6200004 3.08 -4.655 3.115 -4.655 3.1499999 -4.655 3.1850002 -4.655 3.22 -4.6200004 3.29 -4.585 3.325 -4.5499997 3.36 -4.515 3.36 -4.48 3.36 -4.4449997 3.36 -4.4449997 3.36 -4.4449997 3.36 Freehand 36 1.26 -2.0649998 1.26 -2.1000001 1.26 -2.1000001 1.26 -2.1000001 1.26 -2.1000001 1.26 -2.1000001 1.26 -2.1000001 1.26 -2.0649998 1.26 -2.0649998 1.26 -2.03 1.2950001 -1.995 1.2950001 -1.995 1.3299999 -1.96 1.3299999 -1.96 1.365 -1.96 1.365 -1.96 1.365 -1.96 1.365 -1.96 1.365 -1.995 1.365 -2.03 1.365 -2.03 1.3299999 -2.0649998 1.2950001 -2.0649998 1.26 -2.0649998 1.26 -2.0649998 1.225 -2.0649998 1.225 -2.0649998 1.225 -2.03 1.225 -1.995 1.225 -1.96 1.26 -1.9250001 1.2950001 -1.9250001 1.2950001 -1.9250001 1.3299999 -1.9250001 1.3299999 -1.9250001 1.3299999 -1.9250001 Freehand 17 1.2950001 -3.395 1.3299999 -3.36 1.3299999 -3.36 1.3299999 -3.325 1.3299999 -3.325 1.3299999 -3.325 1.3299999 -3.325 1.3299999 -3.36 1.3299999 -3.395 1.3299999 -3.43 1.3299999 -3.5 1.3299999 -3.57 1.365 -3.6399999 1.365 -3.7099998 1.365 -3.7800002 1.365 -3.815 1.365 -3.815 Freehand 12 1.2950001 -4.27 1.3299999 -4.34 1.2950001 -4.375 1.2950001 -4.4449997 1.2950001 -4.48 1.2950001 -4.5499997 1.2950001 -4.6200004 1.2950001 -4.69 1.2950001 -4.725 1.2950001 -4.76 1.3299999 -4.83 1.3299999 -4.83 Freehand 52 1.645 -4.34 1.715 -4.3050003 1.715 -4.3050003 1.75 -4.3050003 1.75 -4.3050003 1.75 -4.3050003 1.785 -4.3050003 1.785 -4.3050003 1.785 -4.3050003 1.8199999 -4.3050003 1.8199999 -4.27 1.8199999 -4.27 1.8199999 -4.27 1.785 -4.27 1.785 -4.27 1.75 -4.27 1.715 -4.3050003 1.68 -4.3050003 1.645 -4.34 1.61 -4.34 1.5749999 -4.375 1.54 -4.41 1.54 -4.41 1.54 -4.4449997 1.54 -4.48 1.54 -4.48 1.54 -4.48 1.5749999 -4.515 1.61 -4.515 1.645 -4.515 1.645 -4.5499997 1.68 -4.5499997 1.715 -4.5499997 1.715 -4.5499997 1.75 -4.585 1.75 -4.585 1.785 -4.585 1.785 -4.6200004 1.785 -4.6200004 1.785 -4.655 1.785 -4.655 1.785 -4.69 1.785 -4.69 1.785 -4.725 1.75 -4.725 1.75 -4.725 1.715 -4.76 1.715 -4.76 1.68 -4.76 1.68 -4.76 1.645 -4.76 1.645 -4.76 Freehand 9 -5.11 -1.785 -5.0049996 -1.785 -5.0049996 -1.785 -5.0049996 -1.785 -4.97 -1.8199999 -4.935 -1.8199999 -4.865 -1.8199999 -4.83 -1.8549999 -4.83 -1.8549999 Freehand 45 -6.86 -1.645 -6.86 -1.61 -6.8250003 -1.5749999 -6.79 -1.5749999 -6.7549996 -1.54 -6.72 -1.505 -6.65 -1.505 -6.615 -1.4699999 -6.615 -1.4699999 -6.58 -1.505 -6.58 -1.505 -6.545 -1.54 -6.545 -1.5749999 -6.58 -1.61 -6.615 -1.68 -6.615 -1.715 -6.65 -1.785 -6.685 -1.8199999 -6.72 -1.8549999 -6.7549996 -1.8900001 -6.7549996 -1.8900001 -6.7549996 -1.8900001 -6.7549996 -1.8900001 -6.7549996 -1.8900001 -6.7549996 -1.8900001 -6.72 -1.8900001 -6.72 -1.8900001 -6.72 -1.8900001 -6.685 -1.8900001 -6.685 -1.8900001 -6.65 -1.8900001 -6.65 -1.8900001 -6.615 -1.9250001 -6.615 -1.9250001 -6.615 -1.96 -6.615 -2.03 -6.65 -2.0649998 -6.65 -2.1000001 -6.685 -2.1000001 -6.685 -2.135 -6.72 -2.135 -6.72 -2.135 -6.7549996 -2.135 -6.7549996 -2.17 -6.7549996 -2.17 Freehand 11 -6.2999997 -1.995 -6.265 -2.0649998 -6.265 -2.1000001 -6.2999997 -2.135 -6.2999997 -2.17 -6.2999997 -2.205 -6.335 -2.24 -6.335 -2.2749999 -6.335 -2.3100002 -6.335 -2.3100002 -6.335 -2.3100002 Freehand 31 -6.125 -1.68 -6.09 -1.61 -6.09 -1.61 -6.125 -1.61 -6.125 -1.5749999 -6.16 -1.5749999 -6.16 -1.61 -6.16 -1.61 -6.1949997 -1.645 -6.1949997 -1.715 -6.23 -1.75 -6.23 -1.8199999 -6.23 -1.8549999 -6.23 -1.8900001 -6.1949997 -1.9250001 -6.1949997 -1.96 -6.16 -1.96 -6.125 -1.96 -6.09 -1.96 -6.02 -1.8900001 -5.985 -1.8199999 -5.985 -1.785 -5.9500003 -1.68 -5.985 -1.645 -5.985 -1.61 -6.02 -1.5749999 -6.0550003 -1.54 -6.09 -1.54 -6.09 -1.54 -6.125 -1.54 -6.125 -1.54 Freehand 29 -5.67 -1.5749999 -5.705 -1.61 -5.705 -1.645 -5.705 -1.68 -5.74 -1.715 -5.74 -1.75 -5.74 -1.8199999 -5.74 -1.8549999 -5.74 -1.8549999 -5.74 -1.8900001 -5.705 -1.9250001 -5.705 -1.9250001 -5.705 -1.9250001 -5.67 -1.9250001 -5.67 -1.8900001 -5.635 -1.8549999 -5.635 -1.8199999 -5.635 -1.785 -5.6 -1.75 -5.6 -1.715 -5.6 -1.645 -5.6 -1.61 -5.635 -1.5749999 -5.635 -1.54 -5.67 -1.505 -5.67 -1.4699999 -5.67 -1.4699999 -5.67 -1.4699999 -5.67 -1.4699999 Freehand 28 -5.3199997 -1.61 -5.355 -1.645 -5.355 -1.645 -5.39 -1.68 -5.4249997 -1.68 -5.46 -1.715 -5.46 -1.75 -5.4950004 -1.8199999 -5.53 -1.8549999 -5.53 -1.8900001 -5.4950004 -1.9250001 -5.4950004 -1.9250001 -5.4950004 -1.96 -5.46 -1.96 -5.4249997 -1.96 -5.39 -1.9250001 -5.355 -1.9250001 -5.3199997 -1.8549999 -5.285 -1.8199999 -5.285 -1.785 -5.285 -1.715 -5.285 -1.68 -5.3199997 -1.61 -5.3199997 -1.5749999 -5.355 -1.505 -5.39 -1.4699999 -5.4249997 -1.4699999 -5.4249997 -1.4699999 Freehand 283 -4.655 3.1850002 -4.6200004 3.1850002 -4.585 3.1499999 -4.585 3.1499999 -4.585 3.1499999 -4.5499997 3.115 -4.5499997 3.115 -4.515 3.08 -4.515 3.045 -4.48 3.045 -4.48 3.01 -4.4449997 3.01 -4.4449997 2.9750001 -4.41 2.9750001 -4.41 2.9750001 -4.375 2.9399998 -4.375 2.9399998 -4.34 2.905 -4.34 2.87 -4.3050003 2.87 -4.27 2.835 -4.235 2.835 -4.2000003 2.8 -4.165 2.765 -4.1299996 2.73 -4.1299996 2.73 -4.095 2.695 -4.095 2.695 -4.06 2.695 -4.025 2.6599998 -4.025 2.6599998 -3.99 2.625 -3.99 2.625 -3.955 2.5900002 -3.92 2.5900002 -3.885 2.555 -3.885 2.555 -3.8500001 2.52 -3.8500001 2.52 -3.815 2.485 -3.7800002 2.45 -3.7450001 2.45 -3.7450001 2.45 -3.7099998 2.415 -3.7099998 2.415 -3.6749997 2.38 -3.6399999 2.38 -3.6399999 2.345 -3.605 2.345 -3.605 2.3100002 -3.57 2.3100002 -3.57 2.2749999 -3.5349998 2.2749999 -3.5 2.24 -3.4650002 2.24 -3.43 2.205 -3.43 2.205 -3.395 2.17 -3.36 2.17 -3.36 2.135 -3.325 2.135 -3.325 2.135 -3.29 2.1000001 -3.29 2.1000001 -3.255 2.0649998 -3.22 2.0649998 -3.22 2.03 -3.1850002 2.03 -3.1499999 1.995 -3.115 1.995 -3.08 1.96 -3.08 1.96 -3.045 1.9250001 -3.01 1.9250001 -2.9750001 1.9250001 -2.9750001 1.9250001 -2.9399998 1.8900001 -2.905 1.8900001 -2.905 1.8549999 -2.87 1.8549999 -2.87 1.8549999 -2.87 1.8199999 -2.835 1.8199999 -2.8 1.785 -2.8 1.785 -2.765 1.75 -2.765 1.75 -2.73 1.715 -2.695 1.68 -2.625 1.645 -2.555 1.5749999 -2.52 1.5749999 -2.485 1.54 -2.415 1.505 -2.38 1.4699999 -2.38 1.435 -2.345 1.435 -2.3100002 1.4 -2.2749999 1.365 -2.24 1.3299999 -2.24 1.3299999 -2.205 1.2950001 -2.17 1.26 -2.135 1.26 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-1.645 0.7 -1.68 0.73499995 -1.68 0.77 -1.68 0.805 -1.715 0.84 -1.715 0.875 -1.715 0.90999997 -1.75 0.90999997 -1.75 0.98 -1.785 0.98 -1.785 1.015 -1.785 1.0500001 -1.8199999 1.0500001 -1.8199999 1.085 -1.8199999 1.12 -1.8549999 1.1550001 -1.8900001 1.19 -1.8900001 1.225 -1.8900001 1.225 -1.9250001 1.26 -1.9250001 1.2950001 -1.9250001 1.2950001 -1.96 1.365 -1.96 1.365 -1.995 1.4 -1.995 1.4 -1.995 1.435 -1.995 1.435 -2.03 1.4699999 -2.03 1.4699999 -2.03 1.4699999 -2.03 1.4699999 -2.03 1.4699999 -2.03 1.4699999 -2.0649998 1.4699999 -2.0649998 1.505 -2.0649998 1.505 -2.0649998 1.505 -2.0649998 1.505 -2.0649998 1.4699999 -2.0649998 1.4699999 -2.03 1.4699999 -2.03 1.4699999 -2.03 Freehand 248 -4.48 3.29 -4.4449997 3.255 -4.4449997 3.255 -4.41 3.22 -4.375 3.22 -4.375 3.22 -4.34 3.1850002 -4.34 3.1850002 -4.34 3.1850002 -4.3050003 3.1499999 -4.3050003 3.1499999 -4.3050003 3.115 -4.27 3.08 -4.27 3.045 -4.27 3.045 -4.235 3.01 -4.2000003 2.9750001 -4.2000003 2.9399998 -4.165 2.905 -4.1299996 2.87 -4.1299996 2.835 -4.095 2.8 -4.06 2.765 -4.025 2.765 -4.025 2.73 -3.99 2.73 -3.955 2.695 -3.955 2.695 -3.92 2.6599998 -3.885 2.6599998 -3.885 2.625 -3.8500001 2.625 -3.8500001 2.5900002 -3.815 2.555 -3.815 2.555 -3.7800002 2.52 -3.7450001 2.485 -3.7099998 2.45 -3.6749997 2.45 -3.6749997 2.415 -3.605 2.345 -3.5349998 2.3100002 -3.5 2.3100002 -3.4650002 2.2749999 -3.43 2.24 -3.395 2.24 -3.36 2.205 -3.325 2.17 -3.29 2.17 -3.29 2.135 -3.255 2.1000001 -3.22 2.1000001 -3.1850002 2.0649998 -3.115 2.03 -3.08 1.995 -3.08 1.96 -3.045 1.96 -3.01 1.9250001 -2.9750001 1.8900001 -2.9399998 1.8900001 -2.9399998 1.8549999 -2.905 1.8199999 -2.87 1.8199999 -2.835 1.785 -2.8 1.75 -2.8 1.715 -2.765 1.715 -2.73 1.68 -2.73 1.645 -2.695 1.645 -2.695 1.61 -2.6599998 1.5749999 -2.6599998 1.5749999 -2.625 1.54 -2.625 1.505 -2.5900002 1.4699999 -2.555 1.435 -2.555 1.4 -2.52 1.4 -2.485 1.365 -2.415 1.2950001 -2.38 1.2950001 -2.345 1.225 -2.3100002 1.225 -2.2749999 1.19 -2.24 1.19 -2.17 1.1550001 -2.135 1.12 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-2.03 1.19 -2.03 1.19 -2.03 1.19 -2.03 1.19 -2.03 1.225 -2.03 1.225 -2.03 1.225 -2.03 1.225 -2.03 1.225 -2.03 1.225 -2.03 1.26 -2.03 1.26 -2.03 1.26 -2.03 1.26 -2.03 1.26 -2.03 1.2950001 -2.03 1.2950001 -2.03 1.2950001 -2.03 1.26 -2.03 1.26 -2.03 1.26 -2.0649998 1.225 -2.0649998 1.225 -2.0649998 Freehand 197 1.3299999 -2.0649998 1.2950001 -2.03 1.2950001 -2.03 1.2950001 -2.03 1.2950001 -2.03 1.2950001 -2.03 1.2950001 -1.995 1.2950001 -1.995 1.2950001 -1.995 1.2950001 -1.96 1.2950001 -1.9250001 1.3299999 -1.9250001 1.3299999 -1.9250001 1.3299999 -1.9250001 1.3299999 -1.9250001 1.3299999 -1.9250001 1.3299999 -1.9250001 1.3299999 -1.96 1.3299999 -1.995 1.3299999 -2.03 1.3299999 -2.03 1.2950001 -2.0649998 1.2950001 -2.1000001 1.26 -2.1000001 1.26 -2.1000001 1.225 -2.1000001 1.225 -2.1000001 1.19 -2.1000001 1.19 -2.1000001 1.19 -2.0649998 1.19 -2.0649998 1.19 -2.03 1.225 -1.995 1.225 -1.96 1.26 -1.8900001 1.2950001 -1.8900001 1.2950001 -1.8549999 1.3299999 -1.8549999 1.365 -1.8199999 1.4 -1.8199999 1.4 -1.8199999 1.435 -1.8549999 1.4699999 -1.8549999 1.4699999 -1.8900001 1.4699999 -1.9250001 1.505 -1.96 1.505 -1.96 1.505 -2.03 1.4699999 -2.0649998 1.4699999 -2.1000001 1.435 -2.135 1.4 -2.135 1.365 -2.17 1.3299999 -2.17 1.2950001 -2.17 1.26 -2.17 1.225 -2.135 1.19 -2.1000001 1.19 -2.0649998 1.1550001 -1.995 1.1550001 -1.9250001 1.19 -1.9250001 1.19 -1.8900001 1.225 -1.8549999 1.225 -1.8549999 1.26 -1.8549999 1.2950001 -1.8549999 1.2950001 -1.8549999 1.3299999 -1.8549999 1.365 -1.8549999 1.365 -1.8549999 1.365 -1.8900001 1.4 -1.8900001 1.4 -1.9250001 1.4 -1.96 1.4 -1.995 1.365 -2.03 1.365 -2.0649998 1.3299999 -2.1000001 1.3299999 -2.1000001 1.26 -2.1000001 1.225 -2.1000001 1.225 -2.1000001 1.19 -2.1000001 1.19 -2.1000001 1.19 -2.1000001 1.19 -2.0649998 1.19 -2.0649998 1.19 -2.03 1.19 -2.03 1.225 -1.995 1.225 -1.96 1.26 -1.96 1.2950001 -1.9250001 1.365 -1.9250001 1.365 -1.9250001 1.4 -1.9250001 1.435 -1.9250001 1.4699999 -1.9250001 1.4699999 -1.96 1.4699999 -1.96 1.4699999 -1.995 1.435 -2.03 1.435 -2.0649998 1.4 -2.0649998 1.365 -2.1000001 1.3299999 -2.135 1.2950001 -2.135 1.26 -2.135 1.225 -2.135 1.19 -2.1000001 1.19 -2.1000001 1.19 -2.0649998 1.19 -2.03 1.19 -1.995 1.225 -1.96 1.2950001 -1.9250001 1.3299999 -1.8900001 1.365 -1.8900001 1.4 -1.8900001 1.435 -1.8900001 1.435 -1.8900001 1.4699999 -1.8900001 1.4699999 -1.8900001 1.505 -1.9250001 1.505 -1.96 1.505 -1.995 1.505 -2.03 1.505 -2.0649998 1.4699999 -2.1000001 1.4699999 -2.135 1.435 -2.17 1.365 -2.17 1.365 -2.17 1.3299999 -2.17 1.3299999 -2.17 1.2950001 -2.135 1.2950001 -2.135 1.26 -2.0649998 1.26 -2.03 1.2950001 -2.03 1.3299999 -1.96 1.3299999 -1.9250001 1.4 -1.8900001 1.435 -1.8900001 1.435 -1.8900001 1.4699999 -1.8900001 1.505 -1.8900001 1.505 -1.8900001 1.54 -1.9250001 1.54 -1.9250001 1.54 -1.995 1.54 -1.995 1.54 -2.03 1.505 -2.0649998 1.505 -2.0649998 1.4699999 -2.0649998 1.435 -2.0649998 1.4 -2.0649998 1.365 -2.0649998 1.365 -2.0649998 1.365 -2.03 1.365 -1.995 1.365 -1.96 1.4 -1.9250001 1.435 -1.8900001 1.4699999 -1.8900001 1.505 -1.8900001 1.54 -1.8900001 1.5749999 -1.8900001 1.645 -1.8900001 1.645 -1.8900001 1.68 -1.9250001 1.68 -1.9250001 1.68 -1.96 1.68 -1.995 1.645 -2.03 1.61 -2.1000001 1.5749999 -2.17 1.54 -2.17 1.505 -2.17 1.4699999 -2.17 1.435 -2.17 1.365 -2.17 1.3299999 -2.17 1.2950001 -2.135 1.2950001 -2.1000001 1.2950001 -2.0649998 1.2950001 -2.03 1.2950001 -1.995 1.2950001 -1.9250001 1.3299999 -1.8900001 1.365 -1.8549999 1.4 -1.8549999 1.4 -1.8199999 1.435 -1.8199999 1.435 -1.8199999 Freehand 111 -4.76 3.1850002 -4.725 3.115 -4.725 3.115 -4.725 3.115 -4.725 3.115 -4.725 3.08 -4.725 3.045 -4.725 3.045 -4.725 3.01 -4.725 3.01 -4.76 2.9750001 -4.76 2.9750001 -4.76 2.9750001 -4.795 2.9750001 -4.795 2.9750001 -4.83 2.9750001 -4.83 2.9750001 -4.83 2.9750001 -4.83 3.01 -4.83 3.045 -4.795 3.08 -4.76 3.1499999 -4.725 3.1850002 -4.655 3.255 -4.585 3.325 -4.515 3.36 -4.48 3.395 -4.4449997 3.395 -4.4449997 3.395 -4.4449997 3.395 -4.4449997 3.36 -4.48 3.325 -4.515 3.255 -4.585 3.1499999 -4.6200004 3.08 -4.69 3.045 -4.725 3.01 -4.76 2.9750001 -4.795 2.9750001 -4.795 2.9750001 -4.83 2.9750001 -4.83 2.9750001 -4.83 2.9750001 -4.83 3.045 -4.795 3.08 -4.795 3.115 -4.76 3.1499999 -4.725 3.1850002 -4.725 3.22 -4.69 3.255 -4.655 3.29 -4.655 3.29 -4.6200004 3.29 -4.6200004 3.29 -4.585 3.29 -4.5499997 3.255 -4.5499997 3.255 -4.5499997 3.22 -4.5499997 3.1850002 -4.515 3.1499999 -4.515 3.08 -4.5499997 3.045 -4.5499997 3.01 -4.585 2.9750001 -4.6200004 2.9750001 -4.655 2.9399998 -4.69 2.9399998 -4.725 2.9399998 -4.795 2.9399998 -4.83 2.9399998 -4.83 2.9750001 -4.865 3.01 -4.865 3.045 -4.865 3.045 -4.865 3.08 -4.795 3.1499999 -4.76 3.1850002 -4.725 3.1850002 -4.655 3.22 -4.6200004 3.22 -4.585 3.255 -4.5499997 3.22 -4.5499997 3.22 -4.5499997 3.1850002 -4.5499997 3.1499999 -4.5499997 3.115 -4.5499997 3.08 -4.5499997 3.045 -4.585 3.01 -4.6200004 2.9399998 -4.655 2.905 -4.69 2.87 -4.725 2.87 -4.76 2.87 -4.795 2.87 -4.795 2.87 -4.83 2.87 -4.83 2.905 -4.83 2.9399998 -4.83 3.01 -4.795 3.08 -4.795 3.115 -4.76 3.1499999 -4.725 3.1850002 -4.69 3.1850002 -4.6200004 3.1850002 -4.585 3.1850002 -4.5499997 3.1850002 -4.515 3.1499999 -4.515 3.115 -4.515 3.115

Learn Math Equation: m =(/ 1 8 0 0 0 - 3 0 0 0,/ 0 - 1 5)/ =(/ 1 5 0 0 0,/ - 1 5)/ = - 1 0 0 0 dollars per year.

Learn Math Equation: V = - 1 0 0 0 t + 1 8 0 0 0

47) The population of Flint, MI decreased from 124,943 in 2000 to 112,900 in 2008... Find the "average rate of change" (slope) in population over that time

Learn Math Equation: m =(/ 1 2 4 9 4 3 - 1 1 2 9 0 0,/ 2 0 0 0 - 2 0 0 8)/ = -(/ 1 2 0 4 3,/ 8)/s~ - 1 5 0 5 people per year

We could even write an equation...

If I call 2000 the year "0"

Learn Math Equation: P = -(/ 1 2 0 4 3,/ 8)/ t + 1 2 4 9 4 3

If I leave 2000 as 2000...

Learn Math Equation: P - 1 2 4 9 4 3 = -(/ 1 2 0 4 3,/ 8)/(( t - 2 0 0 0))

A taxi costs $3 to pickup and $2 a mile.

The slope is Learn Math Equation: 2 dollars per mile.

The y-intercept is 3 dollars.

Learn Math Equation: C = 2 d + 3

Learn Math Graph:400 400 -7.0 1.0 7.0 -7.0 1.0 7.0 g true Point 2.0 7.0 Point -1.0 1.0 Point -2.0 -1.0 Point -3.0 -3.0 Point -4.0 -5.0 Point -5.0 -7.0 Freehand 2 -1.4699999 1.225 -1.4699999 1.225 Color red Line 0.0 3.0 1.0 5.0 Color red