Question

what is the slope of line m?

Explanation:

Step1: Select two points on line m

Let's take the points (-2, 2) and (3, -2) which lie on the line.

Step2: Use the slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $(x_1,y_1)=(-2,2)$ and $(x_2,y_2)=(3,-2)$. Then $m=\frac{-2 - 2}{3-(-2)}$.

Step3: Simplify the expression

$m=\frac{-4}{3 + 2}=\frac{-4}{5}=- \frac{4}{5}$.

Answer:

$-\frac{4}{5}$