Question

What are the coordinates of the midpoint of a segment AB , if: A(–3, 4), B( 1, 2)

Answer 1

Hi there! :)

Answer:

`\huge\boxed{(-1, 3)}`

Use the midpoint formula to derive the midpoint of the segment:

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

Substitute in the coordinates:

`(x_(m) ,y_(m)) = ((-3+1 )/(2) , (4+2 )/(2) )`

Simplify:

`(x_(m) ,y_(m)) = (-1 , 3 )`

The coordinates of the midpoint are:

`(-1, 3)`