document.write( "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) \n" ); document.write( "

Algebra.Com's Answer #638209 by Fombitz(32388) $\"\"$ $\"About$

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OK, let the point be (x,y).
\n" ); document.write( " $\"m%5B1%5D=%28y-5%29%2F%28x-%28-1%29%29=%28y-5%29%2F%28x%2B1%29\"$
\n" ); document.write( " $\"m%5B2%5D=%28y-0%29%2F%28x-0%29=y%2Fx\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"m%5B1%5D=2%2Am%5B2%5D\"$
\n" ); document.write( " $\"%28y-5%29%2F%28x%2B1%29=%282y%29%2Fx\"$
\n" ); document.write( " $\"x%28y-5%29=2y%28x%2B1%29\"$
\n" ); document.write( " $\"xy-5x=2y%28x%2B1%29\"$
\n" ); document.write( " $\"2y%28x%2B1%29-xy=-5x\"$
\n" ); document.write( " $\"y%282%28x%2B1%29-x%29=-5x\"$
\n" ); document.write( " $\"y%282x%2B2-x%29=-5x\"$
\n" ); document.write( " $\"y%28x%2B2%29=-5x\"$
\n" ); document.write( " $\"highlight%28y=%28-5x%29%2F%28x%2B2%29%29\"$
\n" ); document.write( " \n" ); document.write( "

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