Option A:
Midpoint of LN = (2, 3)
Solution:
In the given graph we can find the coordinates of L and N.
Coordinates of L = (–2, 3)
Coordinates of N = (6, 3)
Here, [tex]x_{1}=-2, x_{2}=6, y_{1}=3, y_{2}=3[/tex]
Let us find the midpoint of the segment LN.
Midpoint formula:
[tex]$\text { Midpoint }=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)[/tex]
[tex]\begin{aligned}&=\left(\frac{-2+6}{2}, \frac{3+3}{2}\right)\\&=\left(\frac{4}{2}, \frac{6}{2}\right)\\&=(2,3)\end{aligned}[/tex]
Midpoint of LN = (2, 3)
Option A is the correct answer.
Hence the coordinates of the midpoint of the line segment LN is (2, 3).
