Question

find the slope of the line that passes through (5, 8) and (3, 13). simplify your answer and write it as a proper fraction, improper fraction, or integer.

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 $(x_1,y_1)=(5,8)$ and $(x_2,y_2)=(3,13)$

Step3: Substitute into formula

$m=\frac{13-8}{3-5}=\frac{5}{-2}=-\frac{5}{2}$

Answer:

$-\frac{5}{2}$