SOLUTION: Given line segment AB with midpoint M(5,-1) and endpoint B(8,2), what are the coordinates of A?

Question 134973: Given line segment AB with midpoint M(5,-1) and endpoint B(8,2), what are the coordinates of A?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Given line segment AB with midpoint M(5,-1) and endpoint B(8,2), what are the coordinates of A?
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Draw the picture:
Let the coordinates of A be (x,y)
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Rule: The coordinates of the midpoint are the average of the corresponding
coordinates of the end points.
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(x+8)/2 = 5
x+8 = 10
x = 2
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(y+2)/2 = -1
y+2 = -2
y = -4
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Coordinates of A are (2,-4)
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Cheers,
Stan H.
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