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:

$(x_{m} ,y_{m}) = (\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2} }{2} )$

Substitute in the coordinates:

$(x_{m} ,y_{m}) = (\frac{-3+1 }{2} , \frac{4+2 }{2} )$

Simplify:

$(x_{m} ,y_{m}) = (-1 , 3 )$

The coordinates of the midpoint are:

$(-1, 3)$