Question

2.

What are the coordinates of the midpoint of the line
segment with endpoints (2,-5) and (8,3)?
1) (3,-4) 2) (3,-1) 3) (5,-4) 4) (5,-1)

Answer 1

4) (5, -1)

Explanation:

To find the midpoint, we must average the x coordinates to find the x-coordinate of the midpoint and average the y-coordinates to find the y-coordinate of the midpoint.

Thus, we do:

x-coordinate:
`(2 + 8)/(2)` =
`(10)/(2)` =
`5`

y-coordinate:
`(-5 + 3)/(2)` =
`(-2)/(2)` =
`-1`

This means the midpoint has an x-coordinate of 5 and a y-coordinate of -1. This can be expressed as the point (5, -1), which is option 4