Question

find the slope of the line graphed below.

Explanation:

Step1: Identify two points

Let the two points be $(-4, 2)$ and $(3, 4)$.

Step2: Use slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1=-4,y_1 = 2,x_2=3,y_2 = 4$. So $m=\frac{4 - 2}{3-(-4)}$.

Step3: Simplify the expression

$m=\frac{4 - 2}{3 + 4}=\frac{2}{7}$.

Answer:

$\frac{2}{7}$