I'm having trouble determining what format my answer is supposed to take in the following problem:

The point P(x,y) satisfies the condition that is equidistant from the points A(4,1) and B (-3,5).Find and simplify an equation relating x and y.By simplify, we mean that you should re-write your equation so there are no square roots or fractional exponents present.

I know that one possible location for P is (0.5,3), which is also the midpoint of AB. They apparently want me to create an equation that equals zero. I tried y-6x, but was told that is incorrect.

What do they mean by "an equation relating x and y"?