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

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 $(x_1,y_1)=(-8,-3)$ and $(x_2,y_2)=(-3,4)$.

Step3: Substitute values into formula

$m=\frac{4-(-3)}{-3 - (-8)}=\frac{4 + 3}{-3+8}=\frac{7}{5}$.

Answer:

$\frac{7}{5}$