SOLUTION: If one end point of a line segment is (-6,4), and the midpoint of the segment is (-2,7), how do you find the other end point?

Question 392510: If one end point of a line segment is (-6,4), and the midpoint of the segment is (-2,7), how do you find the other end point?
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If one end point of a line segment is (-6,4), and the midpoint of the segment is (-2,7), how do you find the other end point?
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The coordinates of the midpoint are the average of the
corresponding coordinates of the endpoints.
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Your Problem:
Let the other endpoint be (x,y)
---
Solve:
(-6+x)/2 = -2
-6+x = -4
x = 2
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(4+y)/2 = 7
4+y = 14
y = 10
---
Other endpoint: (2,10)
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Cheers,
Stan H.

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
If one end point of a line segment is (-6,4), and the midpoint of the segment is (-2,7), how do you find the other end point?
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Find x and y separately.
x: -6 to -2 = 4 units
Add 4 units to the midpoint --> -2 + 4 = +2
y: 4 to 7 = 3 units.
7 + 3 = 10
--> (2,10)

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