Question

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

Explanation:

Step1: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$

Step2: Assign values to variables

Let $(x_1,y_1)=(-3,3)$ and $(x_2,y_2)=(5,9)$. Substitute into formula:
$m=\frac{9-3}{5-(-3)}$

Step3: Simplify numerator and denominator

Calculate numerator: $9-3=6$
Calculate denominator: $5-(-3)=5+3=8$
So $m=\frac{6}{8}$

Step4: Reduce the fraction

$\frac{6}{8}=\frac{3}{4}$

Answer:

$\frac{3}{4}$