22. the midpoint of yz is m(0, 2). the coordinates of one endpoint are z(4, 5). find the coordinates of the other endpoint y. (read carefully! you are to find the other endpoint. the midpoint is already given.) show all work, or give an explanation as to how you found the other endpoint.

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)