Question

Find the midpoint of the line segment with endpoints:
(3/7,2/3) to (4/7,-5/3)

Answer 1

`((1)/(14) ,-(7)/(6))`

Explanation:

You can use the midpoint formula:
`(ChangeInX)/(2) ,(ChangeInY)/(2)`

So, the Change In X is:
`(4)/(7) -(3)/(7) = (1)/(7)`

And the Change in Y is:
`-(5)/(3) - (2)/(3) = -(7)/(3)`

Once you divide both of the changes by 2, you get

X:
`(1)/(14)`

Y:
`-(7)/(6)`

So the midpoint is:
`((1)/(14) ,-(7)/(6))`