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

Explanation:

Step1: Recall slope - formula

The slope formula for 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 $(x_1,y_1)=(-7,-7)$ and $(x_2,y_2)=(-3,6)$.

Step3: Substitute values into formula

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

Step4: Simplify the expression

$m=\frac{13}{4}$.

Answer:

$\frac{13}{4}$