Question

The coordinates of point T are (0,4). The midpoint of ST is (2, - 8). Find the coordinates of point S.

The other endpoint is
(Type an ordered pair.)

Answer 1

From the question, we are asked to find thr coordinates of point S.

We know that the midpoint formula M = (x, y) of the two points (x1, y1) and (x2, y2) is:

(x, y) = (x1 + x2/2, y1 + y2/2)

Here the given points are (0, 4) and (2, -8), therefore,

(x, y) = (x1 + x2/2, y1 + y2/2)

------> (x, y) = (0 + 2/2, 4 + (-8)/2)

-------> (x, y) = (0 + 2/2, 4 - 8/2)

-------> (x, y) = (2/2, -4/2)

--------> (x, y) = (1, -2).