Question

find the slope of the line graphed below.

Explanation:

Step1: Identify two points

The line passes through $(-3, 2)$ and $(4, 5)$.

Step2: Apply slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$
Substitute points: $m = \frac{5 - 2}{4 - (-3)}$

Step3: Calculate the value

Simplify numerator and denominator: $m = \frac{3}{7}$

Answer:

$\frac{3}{7}$