Question

What is the midpoint of the segment whose endpoints are (-6,5) and (4,-7)?

Answer 1

Hey there!

To start, the formula to find the midpoint coordinate pair of two given coordinates is as follows:
(
`(x1+x2)/(2)`,
`(y1+y2)/(2)`)

Knowing this, plug in your given values (the two x values are -6 and 4; the two y values are 5 and -7) and simplify:
(
`(-6+4)/(2)`,
`(5+-7)/(2)`)
=(
`(-2)/(2)`,
`(-2)/(2)`)
=(-1,-1)

Therefore, the midpoint of the coordinates (-6,5) and (4,-7) would be (-1,-1).

Hope this helps and have a marvelous day! :)

Answer 2

The answer would be (-1, -1) on a coordinate grid.

(-6+4)/2=x
(-2)/2=x
-1=x

(5+-7)/2=y
(-2)/2=y
-1=y