## The midpoint of AB is (3,7). The coordinate of one endpoint is A(5,1). Find the coordinate of endpoint B. Show or explain work.

Question

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## Answers ( No )

We have a line AB with point P

A(5,1) which becomes (x1,y1)

P(3,7) which becomes (x,y)

B(x,y) which becomes (x2,y2)

Since it is a midpoint, we can use the midpoint formula directly.

x = (x1+x2)/2

3 = (5+x)/2

x=1

Thus our x coordinate is 1

y = (y1+y2)/2

7 = (1+y)/2

y=13

Thus our y coordinate is 13

Our answer is B(1,13)

The formula of a midpoint:

We have

Substitute:

## Answer: B(1, 13)