Question

find the slope of the line graphed below.

Explanation:

Step1: Identify two points on the line

The line passes through $(-4, -4)$ and $(-2, 4)$.

Step2: Apply slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$, substitute $(x_1,y_1)=(-4,-4)$ and $(x_2,y_2)=(-2,4)$
$m = \frac{4 - (-4)}{-2 - (-4)} = \frac{8}{2}$

Step3: Simplify the fraction

$\frac{8}{2} = 4$

Answer:

$4$