Question

Find the coordinates for the midpoint of the segment with endpoints given.

(3, 5) and (-2, 0)
(1/2, 5/2)
(5/2, 1/2)
(1, 5/2)

Answer 1

(1/2, 5/2) is correct one

Answer 2

`((1)/(2),(5)/(2))`

Explanation:

To find the midpoint of a segment of line we have thenext expression:

`((x_1+x_2)/(2),(y_1+y_2)/(2))`

Then using our endpoints:
`(3,5)` and
`(-2,0)` we have
`x_1=3,\,\,x_2=-2` and
`y_1=5,\,\,y_2=0`. Now using that values in the expression of midpoint:

`((x_1+x_2)/(2),(y_1+y_2)/(2))=((3+(-2))/(2),(5+0)/(2))=((3-2)/(2),(5)/(2))=((1)/(2),(5)/(2))`

Then the answer is:

`((1)/(2),(5)/(2))`