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Question 1185204: Given the Midpoint (9, -4) and an Endpoint (-8, 2), find the other end point.
Found 2 solutions by Alan3354, greenestamps:
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! Given the Midpoint (9, -4) and an Endpoint (-8, 2), find the other end point.
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A(-8,2)
M(9,-4)
B = other end point
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For x:
A to M = +17
For y:
A to M = -6
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Add 17 to x of M ---> 26
Add -6 to y of M ---> -10
B(26,-10)
Answer by greenestamps(13200)  (Show Source):
You can put this solution on YOUR website!
Imagine walking along this path.
From the endpoint (-8,2) to the midpoint (9,-4), you have walked (9-(-8))=17 units in the x direction and (-4-2)=-6 units in the y direction.
Since you have walked halfway, to get to the other endpoint you need to walk another 17 units in the x direction and another -6 units in the y direction.
9+17=26; -4+(-6)=-10
ANSWER: The other endpoint is (26,-10)
You could use formal algebra and the midpoint formula to solve the problem:
A(-8,2); B(x,y); midpoint M(9,-4)
x coordinate of B:
y coordinate of B:
(x,y) = (26,-10)
But plugging numbers into formulas doesn't help very much if you are trying to UNDERSTAND how to solve the problem....
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