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(x−x1)2+(y−y1)2 = (x−x2)2+(y−y2)2(x−1)2+(y−1)2 = (x−3)2+(y−5)2 square both sides(x - 1)2 + (y - 1)2 = (x - 3)2 + (y - 5)2x2 - 2x + 1 + y2 - 2y + 1 = x2 - 6x + 9 + y2 - 10y + 25x2 + y2 -2x -2y + 2 = x2 + y2 - 6x - 10y + 34Collecting like termsx2 - x2 + y2 - y2 - 2x + 6x -2y + 10y = 34 - 24x + 8y = 32Divide through by 4x + 2y = 8