Question

what is the slope of the line that passes through the points (-4, 4) and (-1, 3)? 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 $(x_1,y_1)=(-4,4)$ and $(x_2,y_2)=(-1,3)$. Substitute into formula:
$m=\frac{3-4}{-1-(-4)}$

Step3: Simplify numerator and denominator

$m=\frac{-1}{-1+4}=\frac{-1}{3}$

Answer:

$\frac{-1}{3}$ (or $-\frac{1}{3}$)