Question

find the slope of the line passing through the points (-7, -4) and (0, 8).

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 point values

Let $(x_1,y_1)=(-7,-4)$ and $(x_2,y_2)=(8,8)$

Step3: Substitute into formula

$m=\frac{8-(-4)}{8-(-7)}=\frac{8+4}{8+7}$

Step4: Calculate numerator and denominator

$m=\frac{12}{15}=\frac{4}{5}$

Answer:

$\frac{4}{5}$