Question

line gh contains points g(-2, 6) and h(5, -3). what is the slope of \\(\overleftrightarrow{gh}\\)?
\\(\bigcirc -\frac{7}{3}\\)
\\(\bigcirc -\frac{9}{7}\\)
\\(\bigcirc -\frac{7}{9}\\)
\\(\bigcirc -\frac{3}{7}\\)

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: Assign values to variables

Let $(x_1,y_1)=(-2,6)$ and $(x_2,y_2)=(5,-3)$

Step3: Substitute into slope formula

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

Answer:

$-\frac{9}{7}$ (corresponding to the second option)