Find a relation between x and y such that the point P(x,y) is equidistant from the points A(7,1) and B(3,5) .
By using distance formula
and squaring both sides
(x-7)2 +(y-1)2 = (x-3)2+(y-5)2
x2 + 49 -14x + y2 -2y+1= x2 +9 -6x + y2+ 25 -10y
50-14x-2y=34-6x-10y
25 -7x -y=17 -3x -5y
4x-4y=8
x-y=2