Question

Use the slope formula to find the slope of the line through the points (−2,2) and (−7,−6).

Answer 1

The answer/slope is 1.6.

Answer 2

The slope formula is the following formula:

`m=(y_2-y_1)/(x_2-x_1)`

With our given set of points:

`\lbrace(-2,2),(-7,-6)\rbrace`

We have the following:

`\begin{gathered} \begin{cases}x_1=-2 \\ y_1=2\end{cases} \\ \begin{cases}x_2=-7 \\ y_2=-6\end{cases} \end{gathered}`

If we just plug them in the slope formula we get the following:

`m=(-6-(2))/(-7-(-2))=(-8)/(-7+2)=(-8)/(-5)=(8)/(5)`

With this, we have our slope.