Question

The coordinates of point T are ​(0​,5). The midpoint of ST is ​(5​,-4). Find the coordinates of point S.

Answer 1

(10, -13)

Explanation:

You want the coordinates of point S if T = (0, 5) and the midpoint of ST is (5, -4).

End point

End point S satisfies ...

M = (S +T)/2 . . . . . . where M is the midpoint

Solving for S, we have ...

2M -T = S

2(5, -4) -(0, 5) = S = (10, -13)

The coordinates of point S are (10, -13).

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