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A line segment has a midpoint of (7, 1/2 )

If one endpoint is (3,2), what is the other endpoint?

User Yossile
by
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1 Answer

4 votes

Answer:

(11, -1)

Explanation:

We get the midpoint by "averaging" the x-coordinates and y-coordinates.

One endpoint is (3,2) and let the other end point be (x,y). Thus, we can say:

  • average of 3 and x is 7 [x coordinate of midpoint], and
  • average of 2 and y is 1/2 [y coordinate of midpoint]

Let's do the math:


(3+x)/(2)=7\\3+x=7*2\\3+x=14\\x=14-3\\x=11

And


(2+y)/(2)=(1)/(2)\\2(2+y)=2\\4+2y=2\\2y=2-4\\2y=-2\\y=(-2)/(2)\\y=-1

The other endpoint coordinates is thus:

(11, -1)

User Gepoch
by
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