Seudónimo Seudónimo
  • 23-08-2020
  • Mathematics
contestada

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

Respuesta :

leena
leena leena
  • 23-08-2020

Hi there! :)

Answer:

[tex]\huge\boxed{(-1, 3)}[/tex]

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

[tex](x_{m} ,y_{m}) = (\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2} }{2} )[/tex]

Substitute in the coordinates:

[tex](x_{m} ,y_{m}) = (\frac{-3+1 }{2} , \frac{4+2 }{2} )[/tex]

Simplify:

[tex](x_{m} ,y_{m}) = (-1 , 3 )[/tex]

The coordinates of the midpoint are:

[tex](-1, 3)[/tex]

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