Question

find the slope of the line graphed below.

Explanation:

Step1: Select two points on the line

Let's take the points $(0, - 0.5)$ and $(2,1)$.

Step2: Use the slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1=-0.5,x_2 = 2,y_2 = 1$. Then $m=\frac{1-(-0.5)}{2 - 0}=\frac{1 + 0.5}{2}=\frac{1.5}{2}=\frac{3}{4}$.

Answer:

$\frac{3}{4}$