Question

find the slope of the line graphed below.

Explanation:

Step1: Identify two points on the line

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

Step2: Apply slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$, substitute $(x_1,y_1)=(-1,1)$ and $(x_2,y_2)=(-4,-3)$
$m = \frac{-3 - 1}{-4 - (-1)} = \frac{-4}{-3}$

Step3: Simplify the fraction

$\frac{-4}{-3} = \frac{4}{3}$

Answer:

$\frac{4}{3}$