Question

Find the slope of the line passing through (-4, 5) and (-8,-5)

Answer 1

Slope = (y2 - y1) / (x2 - x1)

Slope = (-5 - 5) / (-8 - -4)

Slope = -10 / -4

Slope = 10 / 4

Which is the same as 5/2.

Answer 2

`(\stackrel{x_1}{-4}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{-8}-\underset{x_1}{(-4)}}}\implies \cfrac{-10}{-8+4}\implies \cfrac{-10}{-4}\implies \cfrac{5}{2}`