Question

find the slope of the line passing through the points $(-5, 4)$ and $(3, -3)$.

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 $(x_1,y_1)=(-5,4)$ and $(x_2,y_2)=(3,-3)$

Step3: Substitute into formula

$m=\frac{-3-4}{3-(-5)}=\frac{-7}{8}$

Answer:

$\frac{-7}{8}$