Question

What is the midpoint of the segment of the segment that would be created between points L and N on a graph?

Answer 1

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, $x_{1}=-2, x_{2}=6, y_{1}=3, y_{2}=3$

Let us find the midpoint of the segment LN.

Midpoint formula:

$\text { Midpoint }=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

                $\begin{aligned}&=\left(\frac{-2+6}{2}, \frac{3+3}{2}\right)\\&=\left(\frac{4}{2}, \frac{6}{2}\right)\\&=(2,3)\end{aligned}$

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).