Question

find the slope of the line graphed below.

Explanation:

Step1: Identify two points on line

The line passes through $(-2, -1)$ and $(2, -4)$.

Step2: Apply slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$
Substitute points: $m = \frac{-4 - (-1)}{2 - (-2)}$

Step3: Simplify the expression

$m = \frac{-4 + 1}{2 + 2} = \frac{-3}{4}$

Answer:

$\frac{-3}{4}$