If the midpoint of the line PQ is (2,3) and the point P i...
If the midpoint of the line PQ is (2,3) and the point P is (-2, 1), find the coordinate of the point Q.
(8,6)
(5,6)
(0,4)
(6,5)
Correct answer is D
Midpoint of a line PQ where P has coordinates (x1, y1) and Q has coordinates (x2, y2) is given as
(x1+x22,y1+y22).
∴ If Q has coordinates (r, s), then
\frac{-2 + r}{2} = 2 and \frac{1 + s}{2} = 3
-2 + r = 4 \implies r = 6
1 + s = 6 \implies s = 5
Q = (6, 5)
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