I seem to be missing something obvious here.
I am given a line r: $x + y -2 = 0$ and two points $A = (1,2)$ and $B = (3,4)$
So I decided that I needed to find a point P in which d(AP) = d(BP)
I thus equaled the equations of $d(AP)$ and $d(BP)$, eventually reaching that $2y + 6x - 20 = 0$
Taking $y = -3x + 10$, I equaled this equation to the equation of my line, which I took to be $y = -x + 2$
This yielded the point $P = (6,-4)$ as a result, which is a point on r. However, when I proceed to calculate d(AP) and d(BP), they are not equal. Where did I go wrong?