Answer:
n=-1
Explanation:
Given the points: (-4, n) and (n,-7)
Slope =-2
We know that:
[tex]\text{Slope}=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}}[/tex]Therefore:
[tex]\frac{n-(-7)}{-4-n}=-2[/tex]We solve for n.
[tex]\begin{gathered} n+7=-2(-4-n) \\ n+7=8+2n \\ 7-8=2n-n \\ n=-1 \end{gathered}[/tex]The value of n is -1.
