Question

find the slope of the line graphed below.

Explanation:

Step1: Identify two points on line

Choose points $(-2, 2)$ and $(-5, -3)$

Step2: Apply slope formula

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

Step3: Simplify the fraction

$\frac{-5}{-3}=\frac{5}{3}$

Answer:

$\frac{5}{3}$