Question

Find the value of n in (-4, n), (n,-7) so that the line through these points has a slope of -2

Answer 1

n=-1

Step-by-step explanation:

Given the points: (-4, n) and (n,-7)

Slope =-2

We know that:

`\text{Slope}=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}}`

Therefore:

`(n-(-7))/(-4-n)=-2`

We solve for n.

`\begin{gathered} n+7=-2(-4-n) \\ n+7=8+2n \\ 7-8=2n-n \\ n=-1 \end{gathered}`

The value of n is -1.