erhandrich erhandrich
  • 07-05-2018
  • Mathematics
contestada

If the endpoints of AB have the coordinates A(9,8) and B(-1,-2), what us the midpoint of AB?

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choixongdong
choixongdong choixongdong
  • 07-05-2018
midpoint of AB:
x = (9 - 1)/ 2 = 4
y = (8 - 2)/2 = 3

midpoint of AB = (4 , 3)
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gameninga324
gameninga324 gameninga324
  • 07-05-2018
For this we must use the Midpoint Formula.

[tex]m= (\frac{y_2-y_1}{2}, \frac{x_2-x_1}{2})[/tex]

We'll find the y coordinate first.

[tex]y= \frac{y_2-y_1}{2} \\ y= \frac{8-(-2)}{2} \\ y= \frac{10}{2} [/tex]
y=5

Now we'll do the same for x.

[tex]x= \frac{x_2-x_1}{2} \\ x= \frac{9-(-1)}{2} \\ x= \frac{10}{2} [/tex]
x=5

Your final answer is m=(5, 5)
Answer Link

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