SOLUTION: Given A(-4,0) and B(4,0), in each case find the equation of the set of points P such that the slope of AP is twice the slope of BP. Also, the consecutive question asks the exact sa

Question 608408: Given A(-4,0) and B(4,0), in each case find the equation of the set of points P such that the slope of AP is twice the slope of BP. Also, the consecutive question asks the exact same thing, but the slope of AP must be one more than the slope of BP. So far, I've came up with y=2mx+b, and y=mx+(b-1), but I'm stumped after that. I've already asked a couple of questions, but I really appreciate all the help I can get, because my teacher is assigning an extremely difficult final review with questions like, solve for y: (log(3)x)*(log(x)2x)*(log(2x)y)=log(x)x^2, which took me FOREVER to solve after I figured out how to use the change of base formula...
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
there is a point(s) (x,y), such that ___ (y-0) / (x+4) = 2(y-0) / (x-4)

"cross" multiplying ___ xy - 4y = 2xy + 8y

subtracting xy+8y ___ -12y = xy

dividing by y ___ -12 = x

you can use the same technique for the "one more than" slope
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