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Question 571897: One endpoint of a line segment is at (-2,4). The midpoint of the line segment is at (1,1). What is the coordinate of the second enpoint?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! One endpoint of a line segment is at (-2,4). The midpoint of the line segment is at (1,1). What is the coordinate of the second enpoint?
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Each coordinate of the midpoint is the average of
the corresponding coordinates of the end points.
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Let the missing endpoint be (x,y)
Equations:
(x + (-2))/2 = 1
x-2 = 2
x = 4
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(y+4)/2 = 1
y+4 = 2
y = -2
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2nd endpoint (4,-2)
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Cheers,
Stan H.
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