Question

what is the slope of the line that passes through the points (-4, 2) and (-5, 0)? 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 $(x_1,y_1)=(-4,2)$ and $(x_2,y_2)=(-5,0)$. Substitute into formula:
$m=\frac{0-2}{-5-(-4)}$

Step3: Simplify the expression

First compute numerator and denominator:
$m=\frac{-2}{-5+4}=\frac{-2}{-1}=2$

Answer:

2