What are the coordinates of Y if the midpoint of line segment XY is (2,-5) and the coordinates of point X is (4,4)?

Y(0, - 14 )

Step-by-step explanation:

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

[ (x₁ + x₂ ), (y₁ + y₂ ) ]

Use the midpoint formula and equate corresponding parts to the coordinates of the given midpoint

let Y = (x, y ), then

(4 + x) = 2 ( multiply both sides by 2 )

4 + x = 4 ( subtract 4 from both sides )

x = 0

and

(4 + y ) = - 5 ( multiply both sides by 2 )

4 + y = - 10 ( subtract 4 from both sides )

y = - 14

Thus

coordinates of Y = (0, - 14 )

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0