We just finished up with the distance equation, so I believe that I need to use it to solve it.

That's a good assumption.

You are given P(-3, 2), Q(3, 1), R(0,6). Find the coordinates of A, so that the distance between P and A, Q and A, and R and A are all the same.

The coordinates of A will be (x, y), for some value of x and y. You can plug these into the Distance Formula.

I tried graphing it, but I'm not sure where to put "A".

Hint: Draw the three points, and then try to sketch a circle through them. What point would then be equidistant from all three?