Question

find the slope of the line graphed below.

Explanation:

Step1: Identify two points

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

Step2: Apply slope formula

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

Step3: Simplify the expression

$m = \frac{3}{6} = \frac{1}{2}$

Answer:

$\frac{1}{2}$