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) B (5,7) M (-1,0)

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Question 214006: 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)

B (5,7)

M (-1,0)
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)

B (5,7)

M (-1,0)

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,

-1=%28x%2B5%29%2F2 and 0=%28y%2B7%29%2F2

-2=x%2B5 and 0=y%2B7

x=-7 and y=-7

So the other endpoint is (-7,-7)

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

%28-7%2B5%29%2F2=-1 is the x-coordinate for the midpoint.

%28-7%2B7%29%2F2=0 is the y-coordinate for the midpoint.

So the midpoint is (-1,0) which is same as before.

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J