Question

find the slope of the line graphed below.

Explanation:

Step1: Select two points

Let the two - point be $(x_1,y_1)$ and $(x_2,y_2)$. Suppose the two points on the line are $(0,1)$ and $(2,4)$.

Step2: Use slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute $x_1 = 0,y_1 = 1,x_2=2,y_2 = 4$ into the formula: $m=\frac{4 - 1}{2 - 0}=\frac{3}{2}$.

Answer:

$\frac{3}{2}$