Question

find the slope of the line passing through the points (3, 4) and (8, -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 $(x_1,y_1)=(3,4)$ and $(x_2,y_2)=(8,-3)$

Step3: Substitute into formula

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

Answer:

$\frac{-7}{5}$