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

Answer:

$\frac{4}{5}$

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

Here, $x_1=-7,y_1 = - 4,x_2=8,y_2 = 8$.

Step3: Substitute values

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

Step4: Calculate the slope

$\frac{8 + 4}{8 + 7}=\frac{12}{15}=\frac{4}{5}$.