find the slope of the line passing through the points (-4, 7) and (2, -8).

Answer:

$-\frac{5}{2}$

Explanation:

Step1: Recall slope - formula

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the points

Let $(x_1,y_1)=(-4,7)$ and $(x_2,y_2)=(2,-8)$.

Step3: Substitute values

$m=\frac{-8 - 7}{2-(-4)}=\frac{-15}{2 + 4}$.

Step4: Simplify

$m=\frac{-15}{6}=-\frac{5}{2}$.