Question

what is the slope of the line that goes through (-5,-5) and (5,-7)? a. $-\frac{1}{5}$ b. 0 c. $\frac{1}{5}$ d. undefined

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 point values

Let $(x_1,y_1)=(-5,-5)$ and $(x_2,y_2)=(5,-7)$

Step3: Substitute into formula

$m=\frac{-7-(-5)}{5-(-5)}=\frac{-7+5}{5+5}=\frac{-2}{10}$

Step4: Simplify the fraction

$m=-\frac{1}{5}$

Answer:

A. $-\frac{1}{5}$