find the slope of the line passing through the points (-4, -4) and (2, 5).

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 values of $x_1,y_1,x_2,y_2$

Let $(x_1,y_1)=(-4,-4)$ and $(x_2,y_2)=(2,5)$.

Step3: Substitute the values into the formula

$m=\frac{5-(-4)}{2-(-4)}=\frac{5 + 4}{2 + 4}$.

Step4: Simplify the expression

$m=\frac{9}{6}=\frac{3}{2}$.

Answer:

$\frac{3}{2}$