find the slope of the line passing through the points (-3, 3) and (5, 9).

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 $(x_1,y_1)=(-3,3)$ and $(x_2,y_2)=(5,9)$.

Step3: Substitute values

$m=\frac{9 - 3}{5-(-3)}$.

Step4: Simplify

$m=\frac{6}{5 + 3}=\frac{6}{8}=\frac{3}{4}$.

Answer:

$\frac{3}{4}$