Question

Complete the point- slipe equation of the line through (-1,-10) and (5,2)

Answer 1

`(\stackrel{x_1}{-1}~,~\stackrel{y_1}{-10})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{(-10)}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-1)}}} \implies \cfrac{2 +10}{5 +1} \implies \cfrac{ 12 }{ 6 } \implies 2`

`\begin{array}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}{(-10)}=\stackrel{m}{ 2}(x-\stackrel{x_1}{(-1)}) \implies y +10 = 2 ( x +1)`