Question

what is the slope of this line?

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

Step2: Identify the two points

We have the points $(-2,-2)$ and $(1,4)$. Let $(x_1,y_1)=(-2,-2)$ and $(x_2,y_2)=(1,4)$.

Step3: Substitute into the formula

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

Answer:

$2$