Question

find the slope of the line graphed below.

Explanation:

Step1: Select two points

Let the two - points be $(-3,1)$ and $(3,5)$.

Step2: Use slope formula

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

Step3: Calculate the slope

$m=\frac{5 - 1}{3+3}=\frac{4}{6}=\frac{2}{3}$.

Answer:

$\frac{2}{3}$