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 $(x_2,y_2)=(5,-3)$. Substitute into formula:
$m=\frac{-3-6}{5-(-2)}$

Step3: Simplify numerator and denominator

$m=\frac{-9}{5+2}=\frac{-9}{7}$

Answer:

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