the coordinates of point S.

Question

The coordinates of point T are (0​,4​). The midpoint of ST is (3,−7​). Find the coordinates of point S.

Answer 1

We will want to use the midpoint formula and solve for the coordinates of point S. (The midpoint really just finds the average of the xs and then the average of the ys.)

((x1 + x2)/2 , (y1 + y2)/2)

For the xs we would have: (0 + x2)/2 = 3 or x2 = 6

For the ys we would have: (4 + y2)/2 = -7 or 4 + y2 = -14 or y2 = -18.

So the coordinates of point S are (6, -18)