SOLUTION: the slope of a line joining moving point to (-1,5) is always twice the slope of the line joining it to the origin . find the equation of the locus p(x,y)

Algebra ->  Points-lines-and-rays -> SOLUTION: the slope of a line joining moving point to (-1,5) is always twice the slope of the line joining it to the origin . find the equation of the locus p(x,y)      Log On


   

Question 1022290: the slope of a line joining moving point to (-1,5) is always twice the slope of the line joining it to the origin . find the equation of the locus p(x,y)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
OK, let the point be (x,y).
m%5B1%5D=%28y-5%29%2F%28x-%28-1%29%29=%28y-5%29%2F%28x%2B1%29
m%5B2%5D=%28y-0%29%2F%28x-0%29=y%2Fx
So then,
m%5B1%5D=2%2Am%5B2%5D
%28y-5%29%2F%28x%2B1%29=%282y%29%2Fx
x%28y-5%29=2y%28x%2B1%29
xy-5x=2y%28x%2B1%29
2y%28x%2B1%29-xy=-5x
y%282%28x%2B1%29-x%29=-5x
y%282x%2B2-x%29=-5x
y%28x%2B2%29=-5x
highlight%28y=%28-5x%29%2F%28x%2B2%29%29