Question

a line that includes the points (-5, 2) and (3, g) has a slope of 0. what is the value of g?

Explanation:

Step1: Recall slope - formula

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1=-5,y_1 = 2,x_2 = 3,y_2=g$. The slope $m = 0$.

Step2: Substitute into slope - formula

$0=\frac{g - 2}{3-(-5)}$, which simplifies to $0=\frac{g - 2}{8}$.

Step3: Solve for g

Multiply both sides of the equation $0=\frac{g - 2}{8}$ by 8, we get $0=g - 2$. Then add 2 to both sides, and we find $g=2$.

Answer:

$2$