burnbird16 wrote: A curve is traced by a point P(x,y) which moves such that its distance from point A(-1,1) is three times its distance from point B(2,-1). Determine the equation of the curve.
You have three points: P = (x, y), A = (-1, 1), and B = (2, -1).
You have the Distance Formula
You have the relationship d(P,A) = 3*d(P,B), from which you can create an equation.
Square both sides of that equation, simplify, and solve for "y=".