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

THe slope is 2.