tbucks2004 tbucks2004
  • 07-09-2018
  • Mathematics
contestada

P(-9, -10) and Q(-9, 6) are the endpoints of a line segment. What is the midpoint M of that line segment?

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gmany
gmany gmany
  • 09-09-2018

The formula of the coordinates of a midpoint:

[tex]M\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)[/tex]

We have:

[tex]P(-9,\ -10)\to x_1=-9,\ y_1=-10\\\\Q(-9,\ 6)\to x_2=-9,\ y_2=6[/tex]

Substitute:

[tex]\dfrac{-9+(-9)}{2}=\dfrac{-18}{2}=-9\\\\\dfrac{-10+6}{2}=\dfrac{-4}{2}=-2[/tex]

Answer:  [tex]M(-9,\ -2)[/tex]

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