Question

find the slope of the line shown in the graph.

Explanation:

Step1: Select two points

Let's take two points on the line: $(0, 4)$ and $(4, - 2)$.

Step2: Use slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1 = 4,x_2 = 4,y_2=-2$. Then $m=\frac{-2 - 4}{4-0}=\frac{-6}{4}=-\frac{3}{2}$.

Answer:

$-\frac{3}{2}$