taylor1283268
taylor1283268 taylor1283268
  • 07-06-2020
  • Mathematics
contestada

PQ has endpoints P(6,-3) and Q(-2,-7). Find the coordinates of the midpoint of PQ.

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TheAnimeGirl
TheAnimeGirl TheAnimeGirl
  • 07-06-2020

So the right answer is (2,-5)

please see attached picture for full solution

Hope it helps

Good luck on your assignment

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profarouk profarouk
  • 07-06-2020

Answer:

Midpoint (2 , -5)

Step-by-step explanation:

RULE: (midpoint)

Consider P(x1,y1)and Q(x2,y2) two points:

the midpoint M(x,y) of the segment PQ is defined like this:

[tex]x = \frac{x1+x2}{2} \\\\y=\frac{y1+y2}{2}[/tex]

In our case

x1 = 6 ; y1 = -3

x2 = -2 ; y2 = -7

then

[tex]x = \frac{6+(-2)}{2} =2\\\\y = \frac{(-3)+(-7)}{2} =-5[/tex]

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