Question

what is the slope of this line? (4, 12) (-4, -20)

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 two points

We have the points $(4,12)$ and $(- 4,-20)$. Let $(x_1,y_1)=(-4,-20)$ and $(x_2,y_2)=(4,12)$.

Step3: Substitute values into formula

$m=\frac{12-(-20)}{4 - (-4)}=\frac{12 + 20}{4 + 4}$.

Step4: Simplify

$\frac{12+20}{4 + 4}=\frac{32}{8}=4$.

Answer:

4