Question

what is the slope of the line that passes through the points $(-2, 2)$ and $(-4, -1)$? 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 $(x_1,y_1)=(-2,2)$ and $(x_2,y_2)=(-4,-1)$. Substitute into the formula:
$m=\frac{-1-2}{-4-(-2)}$

Step3: Simplify numerator and denominator

$m=\frac{-3}{-4+2}=\frac{-3}{-2}$

Step4: Simplify the fraction

$m=\frac{3}{2}$

Answer:

$\frac{3}{2}$