Question

Find the midpoint of the line segment whose endpoints are (3,7) and (9,3)

Answer 1

The midpoints are ( 6, 5 ).

Explanation:

Given that the endpoints are A ( 3, 7) and B (9, 3)-

As we know that-

If a line segment AB is with endpoints (
`x_(1), y_(1)` ) and (
`x_(2), y_(2)` then the mid points C are-

C = (
`( x_(1) + x_(2) )/(2)`,
`( y_(1) + y_(2)  )/(2)` )

Here,

A ( 3, 7 ) and B ( 9, 3 )-

Then the midpoints C are-

C = (
`( 3 + 9)/(2)`,
`( 7 + 3 )/(2)` )

C= ( 12/2 , 10/2 )

C = ( 6, 5 )

Hence the midpoints are (6, 5).