Question

find the slope of the line that passes through the following points: (4, -3) (0, 5)

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 $(x_1,y_1)=(4,-3)$ and $(x_2,y_2)=(0,5)$

Step3: Substitute into formula

$m=\frac{5-(-3)}{0-4}=\frac{5+3}{-4}$

Step4: Simplify the expression

$m=\frac{8}{-4}=-2$

Answer:

$-2$