what is the slope of the line that passes through the points (-6, -6) and (-9, -5)? write your answer in…

Explanation:

Step1: Recall slope formula

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1=-6,y_1 = - 6,x_2=-9,y_2=-5$.

Step2: Substitute values

$m=\frac{-5-(-6)}{-9-(-6)}=\frac{-5 + 6}{-9 + 6}=\frac{1}{-3}=-\frac{1}{3}$

Answer:

$-\frac{1}{3}$