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

Question

asked Jun 18, 2021 97.1k views

1 Answer

Istao · Answer 1 · 2021-06-24T17:39:24+0000

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)