geometry

what part of the coordinate plane is equidistant from the points a(-3 2) and b(3,2)? Explain

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  1. all points on a line perpendicular to the line between those two points and through a point halfway between the two points
    m = (Y2-Y1)/(X2-X1) slope between
    m' = -1/m slope of perpendicular, the line we want
    y = m' x + b
    to get b (point halfway between)
    average x = (-3+3)/2 = 0
    average y = (2+2)/2 = 2
    so through (0 , 2)
    2 = m' * 0 + b
    b = 2
    y = m' x + 2

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  2. By the way it is the y axis.

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  3. THanks

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  4. Goat mom/my_crafting -- Please use the same name for your posts.

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    Ms. Sue
  5. The given points represent a hor. line.
    A(-3, 2), M(x, y), B(3, 2). M is the mid-point of the given line.
    3 - (-3) = 2(x - (-3)).
    6 = 2x + 6,
    X = 0..
    Y = 2 = k(constant).
    M(0, 2).

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