The locus of a point P(x,y) such that PV = PW where V = (1,1) and W = (3,5). This means that the point P moves so that its distance from V and W are equidistance. PV = PW \(\sqrt{(x-1)^{2} + (y-1)^{2}} = \sqrt{(x-3)^{2} + (y-5)^{2}}\). Squaring both sides of the equation, (x-1)2 + (y-1)2 = (x-3)2 + (y-5)2. x2-2x+1+y2-2y+1 = x2-6x+9+y2-10y+25 Collecting like terms and solving, x + 2y = 8.