Question

Use the slope formula to find the slope of a line that passes through the points (-1,-8) and (-2, -10)

Answer 1

Let's take a look at the slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Where

m is the slope

(x_1,y_1) is the first point

(x_2, y_2) is the second point

Points given are:

$\begin{gathered} (x_1,y_1)=(-1,-8) \\ \text{and} \\ (x_2,y_2)=(-2,-10) \end{gathered}$

Let's substitute and find the slope. Shown below:

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-10-(-8)}{-2-(-1)_{}} \\ m=\frac{-10+8}{-2+1} \\ m=\frac{-2}{-1} \\ m=2 \end{gathered}$

THe slope is 2.