Question

what is the slope of this line? simplify your answer and write it as a proper fraction, improper fraction

Explanation:

Step1: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify points

Let $(x_1,y_1)=(-6,-8)$ and $(x_2,y_2)=(2,8)$.

Step3: Substitute values

$m=\frac{8-(-8)}{2-(-6)}$.

Step4: Simplify

$m=\frac{8 + 8}{2+6}=\frac{16}{8}=2$.

Answer:

$2$