Question

Find the slope of each line

Answer 1

to get the equation of any straight line, we simply need two points off of it, let's use those two points from the picture below.

`(\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-1)}}} \implies \cfrac{-2 +1}{3 +1}\implies \cfrac{-1}{4}\implies -\cfrac{1}{4}`