given the points (-1,-1) and (-8,6), find the slope of the line passing through them. slope =

Explanation:

Step1: Identify slope formula

The slope $m$ of a line passing through 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

Let $(x_1,y_1)=(-1,-1)$ and $(x_2,y_2)=(-8,6)$. Then $m=\frac{6-(-1)}{-8 - (-1)}$.

Step3: Simplify the expression

First, $6-(-1)=6 + 1=7$ and $-8-(-1)=-8 + 1=-7$. So $m=\frac{7}{-7}=-1$.

Answer:

$-1$