Question

find the slope of the line graphed below.

Explanation:

Step1: Identify two points

The line passes through $(-1, 2)$ and $(3, -4)$.

Step2: Apply slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$
Substitute points: $m = \frac{-4 - 2}{3 - (-1)}$

Step3: Calculate numerator and denominator

$m = \frac{-6}{4}$

Step4: Simplify the fraction

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

Answer:

$-\frac{3}{2}$