The coordinates of point Y are given. The midpoint of XY is (3, -5). Find The coordinates of point X. Y(4, -8)

Answer 1

Three points on a line XY.

Y(4,-8)

M(3,-5)

X(a,b)

You know that M is half way between X and Y. This means that the x coordinate of M is halfway between the x coordinate of Y and X, and the same for the y coordinate.

What's the difference between the x coord of M and Y? Double that difference and apply it to the x coord of Y to get the x coord of X. Likewise for the y coord.

So as an example. Y(7,-9) M(6,-6) means X(5,-3)