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

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

    midpoint of AB = (4 , 3)
  • gameninga324: 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)
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