Question

find the slope of the line shown in the graph.

Explanation:

Step1: Select two points on the line

Let's take the points $(0, - 4)$ and $(5, - 1)$.

Step2: Use the slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1=-4,x_2 = 5,y_2=-1$. Then $m=\frac{-1-(-4)}{5 - 0}=\frac{-1 + 4}{5}=\frac{3}{5}$.

Answer:

$\frac{3}{5}$