If the midpoint of the line PQ is (2,3) and the point P is (-2, 1), find the coordinate of the point Q.
A.
(8,6)
B.
(5,6)
C.
(0,4)
D.
(6,5)
Correct Answer: (6,5)
Explanation
Midpoint of a line PQ where P has coordinates (x1, y1) and Q has coordinates (x2,y2) is given as
(x11 + x2/2, y1 + y2/2).
∴ If Q has coordinates (r, s), then
−2+r/2 = 2 and 1+s/2 = 3
−2 + r = 4 ⟹ r = 6
1 + s = 6 ⟹ s = 5
Q = (6, 5)
Midpoint of a line PQ where P has coordinates (x1, y1) and Q has coordinates (x2,y2) is given as
(x11 + x2/2, y1 + y2/2).
∴ If Q has coordinates (r, s), then
−2+r/2 = 2 and 1+s/2 = 3
−2 + r = 4 ⟹ r = 6
1 + s = 6 ⟹ s = 5
Q = (6, 5)
