Midpoint formula :
Midpoint = (x1 + x2)/2, (y1 + y2)/2
Substitute the coordinates of the points you are given.
(0, 2) = (x1 + 4)/2, (y1 + 5)/2
(0, 2) = (x + 4)/2, (y + 5)/2
Write out two separate equations to find x and y.
1) 0 = (x + 4)/2
Multiply both sides by 2 to get rid of the denominator.
0 = x + 4
Subtract 4 from both sides to get x by itself.
-4 = x
The x-coordinate of the endpoint is -4.
2) 2 = (y + 5)/2
Multiply both sides by 2.
4 = y + 5
Subtract 5 from both sides.
-1 = y
The y-coordinate of the endpoint is -1.
Checking if your answer is correct:
(0, 2) = (-4 + 4)/2, (-1 + 5)/2
(0, 2) = 0/2, 4/2
(0, 2) = (0, 2)
