SOLUTION: You are given an endpoint and the midpoint of a line segment. Find the coordinates of the other endpoint. Each midpoint is denoted by M(x, y) C(-4,-5) M(3,-6)

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Question 214019: You are given an endpoint and the midpoint of a line segment. Find the coordinates of the other endpoint. Each midpoint is denoted by M(x, y)

C(-4,-5)

M(3,-6)
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
You are given an endpoint and the midpoint of a line segment. Find the coordinates of the other endpoint. Each midpoint is denoted by M(x, y)

C(-4,-5)
M(3,-6)

Let (x,y) be the other endpoint. Then for this example the midpoint is calculated by averaging the x and y coordinates of the endpoints. That is,

3=%28x%2B%28-4%29%29%2F2 and -6=%28y%2B%28-5%29%29%2F2

6=x-4 and -12=y-5

x=10 and y=-7

So the other endpoint is (10,-7)

As a check between the two endpoints (10,-7) and (-4,-5), let's calculate the midpoint.

%2810%2B%28-4%29%29%2F2=3 is the x-coordinate for the midpoint.

%28-7%2B%28-5%29%29%2F2=-6 is the y-coordinate for the midpoint.

So the midpoint is (3,-6) which is same as before.

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J