Question

what is the slope of the line that passes through the points $(3, 8)$ and $(-2, 13)$? write your answer in simplest form.

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 values to variables

Let $(x_1,y_1)=(3,8)$ and $(x_2,y_2)=(-2,13)$. Substitute into formula:
$m=\frac{13-8}{-2-3}$

Step3: Calculate numerator and denominator

$m=\frac{5}{-5}$

Step4: Simplify the fraction

$m=-1$

Answer:

$-1$