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

Answer:

X = (18, 0 )

Step-by-step explanation:

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

( $\frac{x_{1}+x_{2} }{2}$ , $\frac{y_{1}+y_{2} }{2}$ )

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

$\frac{x-2}{2}$ = 8 ( multiply both sides by 2 )

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

x = 18

and

$\frac{y-4}{2}$ = - 2 ( multiply both sides by 2 )

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

y = 0

coordinates of X = (18, 0 )