posted by tatiana .
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.
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|.