Y is mid point of line segment xz. The coordinates of y are (13,17) and the coordinates of x are (-18,-19). What are the coordinates of z?

Answer 1

Answer: (44, 53)

If y is the midpoint of the segment, we can assume that it is cutting the segment exactly in half, meaning the distance between xy and the distance between yz should be equal.

You can find the value of the distance by taking how far the x values of the coordinates are from each other on xy, and do the same with the y values.

The distance between -18 and 13, is 31. Think of them as little hops. If you were to hope from -18, you would have to hop 18 spaces to get to 0, and then another 13 spaces to get to 13. So, you can take 13+31 to get 44 as the x value for z.

Same with the distance between -19 and 17. Including 0, the distance between them is 36. Take 17+36=53. So 53 is the y value for z.