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((x_(1)+x_(2))/(2), (y_(1)+y_(2))/(2)\right)`

`\begin{aligned}&=\left((-2+6)/(2), (3+3)/(2)\right)\\&=\left((4)/(2), (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).