Question

A line with a slope of -8 passes through the points (-9,-5) and (w,3). What is the value of w

Answer 1

`(\stackrel{x_1}{-9}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{w}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{3}-\stackrel{y1}{(-5)}}}{\underset{\textit{\large run}} {\underset{x_2}{w}-\underset{x_1}{(-9)}}} ~~ = ~~\stackrel{\stackrel{\textit{\small slope}}{\downarrow }}{ -8 }\implies \cfrac{3+5}{w+9}=-8\implies \cfrac{8}{w+9}=-8 \\\\\\ \cfrac{8}{-8}=w+9\implies -1=w+9\implies -10=w`