SOLUTION: Find the point on the y-axis that is equidistant from (-5,-2) and (3,2) Thank You!!!

Question 892477: Find the point on the y-axis that is equidistant from (-5,-2) and (3,2)

Thank You!!!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the point on the y-axis that is equidistant from (-5,-2) and (3,2)
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Let the point be (0,y)
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Equation:
distance from (-5,-2) = distance from (3,2)
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(y--2)^2 + (0--5)^2 = (y-2)^2 + (0-3)^2
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(y+2)^2 + 25 = (y-2)^2 + 9
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y^2 + 4y + 29 = y^2-4y+13
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8y = -16
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y = -2
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Point:: (0,-2)
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Cheers,
Stan H.
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