justtryingtopass7
justtryingtopass7 justtryingtopass7
  • 01-04-2019
  • Mathematics
contestada

What are the coordinates of the midpoint of the segment whose endpoint are P(-6, 3) and Q(9, -11)

A. (-3, -2)
B. (-1.5, -1)
C. (1.5, -4)
D. (3, -8)

Respuesta :

gmany
gmany gmany
  • 17-07-2019

Answer:

[tex]\large\boxed{C.\ (1.5,\ -4)}[/tex]

Step-by-step explanation:

The formula of a midpoint of a segment AB with endpoints at A(x₁, y₁) and B(x₂, y₂):

[tex]M_{AB}\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)[/tex]

We have the points P(-6, 3) and Q(9, -11).

Substitute:

[tex]M_{PQ}(x,\ y)\\\\x=\dfrac{-6+9}{2}=\dfrac{3}{2}=1.5\\\\y=\dfrac{3+(-11)}{2}=\dfrac{-8}{2}=-4[/tex]

Answer Link
crybabymia
crybabymia crybabymia
  • 16-05-2020

Answer:

(-1.5, -1)

Step-by-step explanation:

Answer Link

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