document.write( "Question 1087545: Find the point on the y-axis equidistant from (-5,2) and (9,-2) \n" ); document.write( "

Algebra.Com's Answer #701857 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let that point be (x,y).
\n" ); document.write( "Using the distance formula,
\n" ); document.write( " $\"D%5B1%5D=%28x%2B5%29%5E2%2B%28y-2%29%5E2\"$
\n" ); document.write( " $\"D%5B2%5D=%28x-9%29%5E2%2B%28y%2B2%29%5E2\"$
\n" ); document.write( " $\"D%5B1%5D=D%5B2%5D\"$
\n" ); document.write( "so,
\n" ); document.write( " $\"%28x%2B5%29%5E2%2B%28y-2%29%5E2=%28x-9%29%5E2%2B%28y%2B2%29%5E2\"$
\n" ); document.write( " $\"x%5E2%2B10x%2B25%2By%5E2-4y%2B4=x%5E2-18x%2B81%2By%5E2%2B4y%2B4\"$
\n" ); document.write( " $\"10x-4y%2B29=-18x%2B4y%2B85\"$
\n" ); document.write( " $\"28x-8y=56\"$
\n" ); document.write( " $\"7x-2y=14\"$
\n" ); document.write( "You also know that since the point is on the y-axis, $\"y=0\"$
\n" ); document.write( " $\"7x=14\"$
\n" ); document.write( " $\"x=2\"$
\n" ); document.write( "(2,0) \n" ); document.write( "

\n" );