SOLUTION: The midpoint of segment AB is (4, 2). The coordinates of point A are (2, 7). Find the coordinates of point B.

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Question 879963: The midpoint of segment AB is (4, 2). The coordinates of point A are (2, 7). Find the coordinates of point B.

Found 2 solutions by ewatrrr, Fombitz:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
A(2,7) and Midpoint of AB is M(4,2), Find point B
Midpoint Pt(x,y): ( %28x%5B1%5D+%2B+x%5B2%5D%29%2F2, %28y%5B1%5D+%2B+y%5B2%5D%29%2F2++%29)
(2+x)/2 = 4, x = 6
(7+y)/2 = 2, y = -3
B(6,-3)

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

The midpoint is the average of the x values and y values of A and B.
%28x%5Ba%5D%2Bx%5Bb%5D%29%2F2=x%5Bm%5D
%282%2Bx%5Bb%5D%29%2F2=4
2%2Bx%5Bb%5D=8
x%5Bb%5D=6
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.
%28y%5Ba%5D%2By%5Bb%5D%29%2F2=y%5Bm%5D
%287%2By%5Bb%5D%29%2F2=2
7%2By%5Bb%5D=4
y%5Bb%5D=-3
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