Question

find the slope of the line passing through the points (-9, -3) and (7, -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 coordinates

Let $(x_1,y_1)=(-9,-3)$ and $(x_2,y_2)=(7,-7)$

Step3: Substitute values into formula

$m=\frac{-7-(-3)}{7-(-9)}=\frac{-7+3}{7+9}$

Step4: Simplify numerator and denominator

$m=\frac{-4}{16}=\frac{-1}{4}$

Answer:

$\frac{-1}{4}$