find the slope of the line passing through the points (-3, -8) and (5, 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 $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the points

Let $(x_1,y_1)=(-3,-8)$ and $(x_2,y_2)=(5,6)$.

Step3: Substitute values

$m=\frac{6-(-8)}{5 - (-3)}=\frac{6 + 8}{5+3}$.

Step4: Calculate

$m=\frac{14}{8}=\frac{7}{4}$.

Answer:

$\frac{7}{4}$