Given David's excellent answer to your previous post, it should be clear that A and B are endpoints of a diameter of a circle.
The circle is centered at the midpoint of AB with diameter |AB|.
given A(6,8) and B(-6,-8) write an equation in terms of x and y for all points P(x,y) such that segment PA is perpendicular to segment PB. simplify the equation and interpret your answer.
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