find the slope of the line passing through the points (-3, -8) and (4, 6).

Explanation:

Step1: Recall slope formula

The slope $m$ between 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 $(x_1,y_1)=(-3,-8)$ and $(x_2,y_2)=(4,6)$.

Step3: Substitute values

$m=\frac{6-(-8)}{4 - (-3)}=\frac{6 + 8}{4+3}$.

Step4: Simplify

$m=\frac{14}{7}=2$.

Answer:

$2$