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What is the y-coordinate of the point on the y-axis that is equidistant from points A( 2, 0) and B(-1,-4)?

 Jan 31, 2021
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If the points are equidistant from A and B, then it must be on their perpendicular bisector. The midpoint of AB is (.5,-2) and the slope is 4/3. That means the slope of the bisector is -3/4 and must contain (.5,-2). That gives us the equation is y=-3/4x-13/8. Therefore the y intercept is -13/8.

:D

 Jan 31, 2021

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