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.

Answer 1

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|.