Question

The midpoint of the line segment XY is (8, -2) and point Y is located at (-2,-4). Find the

coordinates of point X.

Answer 1

X = (18, 0 )

Explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

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

let the coordinates of X be (x, y ) then equate to the coordinates of midpoint

`(x-2)/(2)` = 8 ( multiply both sides by 2 )

x - 2 = 16 ( add 2 to both sides )

x = 18

and

`(y-4)/(2)` = - 2 ( multiply both sides by 2 )

y - 4 = - 4 ( add 4 to both sides )

y = 0

coordinates of X = (18, 0 )