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a.) THe points are equidistant from points A(1,5) and B(-2,6)

I made another random point C(x,y)

AC=BC

I wrote the distance formula for both AC and BC and set them equal to each other but im not sure how to simplify now

square root[(x+2)^2 +(y-6)^2] = square root[(x-1)^2+(y-5)^2]

I square both sides to get rid of the square root but after that i dont know what to do I got a final answer of 6x-2y+13=0 plz tell me is this correct?