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Ivenika [448]
3 years ago
8

Complete the equation of the line through (-1,6) and (7,-2)

Mathematics
1 answer:
ASHA 777 [7]3 years ago
3 0

\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{-2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{6}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{(-1)}}}\implies \cfrac{-8}{7+1}\implies \cfrac{-8}{8}\implies -1

\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{-1}[x-\stackrel{x_1}{(-1)}] \\\\\\ y-6=-(x+1)\implies y-6=-x-1\implies y=-x+5

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Sample size n                        60                     120

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