document.write( "Question 1121471: find the point of the y-axis that is equidistant from A(-4,-2) A(3,1). Thank you \n" ); document.write( "

Algebra.Com's Answer #737366 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Call the point on the y-axis ( 0, y )
\n" ); document.write( "Use length formulas
\n" ); document.write( " $\"+%28+-4+-+0+%29%5E2+%2B+%28+-2+-+y+%29%5E2+=+%28+3+-+0+%29%5E2+%2B+%28+1+-+y+%29%5E2+\"$
\n" ); document.write( " $\"+16+%2B+4+%2B+4y+%2B+y%5E2+=+9+%2B+1+-+2y+%2B+y%5E2+\"$
\n" ); document.write( " $\"+y%5E2+%2B+4y+%2B+20+=+y%5E2+-+2y+%2B+10+\"$
\n" ); document.write( " $\"+4y+%2B+20+=+-2y+%2B+10+\"$
\n" ); document.write( " $\"+6y+=+-10+\"$
\n" ); document.write( " $\"+y+=+-5%2F3+\"$
\n" ); document.write( "The point is ( 0, -5/3 )
\n" ); document.write( "Check the math
\n" ); document.write( " \n" ); document.write( "

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