Question

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

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

Step3: Substitute values

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

Step4: Simplify

$m=\frac{5 + 4}{2+4}=\frac{9}{6}=\frac{3}{2}$.

Answer:

$\frac{3}{2}$