The coordinate of L is (-6, 1).
The coordinate of N is (1, 8).
[tex]\begin{gathered} \text{Given two points P(x}_1,y_1)andQ(x_2,y_2),thecoordinateofthemidpoint,(x_m,y_m)\text{ of the } \\ \text{ line joining PQ is given by: } \\ x_m=\frac{x_1+x_2}{2},\text{ y}_m=\frac{y_1_{}+y_2_{}}{2}, \end{gathered}[/tex]
Therefore,
in our case
[tex](x_m,y_m)=(\frac{-6+1}{2},\frac{1+8}{2})=(-2\frac{1}{2},4\frac{1}{2})[/tex]
Correct choice is D
