find the slope of the line passing through the points (-3, 7) and (2, -6).

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 given by $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the points

Let $(x_1,y_1)=(-3,7)$ and $(x_2,y_2)=(2,-6)$.

Step3: Substitute values into formula

$m=\frac{-6 - 7}{2-(-3)}=\frac{-13}{2 + 3}$.

Step4: Simplify the fraction

$m=\frac{-13}{5}=-\frac{13}{5}$.

Answer:

$-\frac{13}{5}$