The coordinates of Q will be (0, -6) if R(6, -1) is the midpoint of QS.
Let the coordiantes of point Q be (x, y).
According to the given question.
R is the midpoint of QS.
The coordinates of point R is (6, -1).
And the coordinates of point S is (12, 4).
Thereofore, the coordiantes of point Q is given by
(6, -1) = ( (x + 12)/2, (y + 4)/2 )
⇒ x + 12/2 = 6 and y + 4/2 = -1
⇒ x + 12 = 12 and y + 4 = -2
⇒ x = 0 and y = -6
Hence, the coordinates of Q will be (0, -6) if R(6, -1) is the midpoint of QS.
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