Question

Find the slope of the line.

The slope of the line is
(Type an integer or a simplified fraction.)

Answer 1

m = -1

Explanation:

Slope = rise/run or (y2 - y1) / (x2 - x1)

Pick 2 points (-2, -1) (3, -6)

We see the y decrease by 5 and the x increase by 5, so the slope is

m = -5/5 = -1

Answer 2

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

`(\stackrel{x_1}{-2}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-5}-\stackrel{y1}{0}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{(-2)}}} \implies \cfrac{-5 }{3 +2} \implies \cfrac{ -5 }{ 5 } \implies - 1`