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Question 784700: Im stuck on an incredibly confusing problem with endpoints and midpoints. Heres the question:
Find the other endpoint of the line segment with the given endpoint and midpoint.
Endpoint: (-9,5), midpoint: (1,5)
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Let (p,q) be the other unknown endpoint
According to the midpoint formula, if we have two endpoints (x1,y1) and (x2,y2), the midpoint MP is MP = (Mx, My)
where
Mx = (x1 + x2)/2
My = (y1 + y2)/2
So this means that
X coordinate of the midpoint
Mx = (x1 + x2)/2
1 = (-9 + p)/2
1*2 = -9 + p
2 = -9 + p
2 + 9 = p
11 = p
p = 11
So the x coordinate of that unknown endpoint is 11
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Y coordinate of the midpoint
My = (y1 + y2)/2
5 = (5 + q)/2
5*2 = 5 + q
10 = 5 + q
10 - 5 = q
5 = q
q = 5
and the y coordinate of that unknown endpoint is 5
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Since p = 11 and q = 5, the point (p,q) turns into (11,5)
The final answer is (11,5)
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