Question

line gh contains points g(-2, 6) and h(5, -3). what is the slope of $overleftrightarrow{gh}$?

Explanation:

Step1: Recall slope formula

The slope formula for 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

Here $x_1=-2,y_1 = 6,x_2=5,y_2=-3$.

Step3: Substitute values

$m=\frac{-3 - 6}{5-(-2)}=\frac{-9}{7}$.

Answer:

$-\frac{9}{7}$