Question

Y is the midpoint of segment XZ. The coordinates of X are (2, 4) and of Y are (-1, 1). Find the coordinates of Z. need help

Answer 1

Okay, so you know that the midpoint means that both of the line segments are equal, which means that Y is directly in the middle between the two.

You would find Y by taking the average of X and Z coordinates.
2 + x / 2 (because we don't know the coordinate of the x-value of Z) (we also divide by 2 because that's how we find the average)
We equal this to the x-value of Y, which is -1
2 + x / 2 = -1
2 + x = -2
x = 0

Now Find the y coordinate by doing the same thing