Question

1. what is the slope of the line that passes through the points m(-5,0) and n(6,8)?

Explanation:

Step1: Recall slope - formula

The slope formula 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 the points

Let $(x_1,y_1)=(-5,0)$ and $(x_2,y_2)=(6,8)$.

Step3: Substitute values into formula

$m=\frac{8 - 0}{6-(-5)}=\frac{8}{6 + 5}=\frac{8}{11}$.

Answer:

$\frac{8}{11}$