document.write( "Question 539008: Find the point on the y-axis that is equidistant from (5,1) and (-3,-1). \n" ); document.write( "
Algebra.Com's Answer #353308 by lwsshak3(11628)\"\" \"About 
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Find the point on the y-axis that is equidistant from (5,1) and (-3,-1)
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\n" ); document.write( "distance formula:
\n" ); document.write( "d^2=(x1-x2)^2+(y1-y2)^2
\n" ); document.write( "..
\n" ); document.write( "d1^2=d2^2
\n" ); document.write( "(x-5)^2+(y-1)^2=(x+3)^2+(y+1)^2
\n" ); document.write( "x-coordinate of point on y-axis=0
\n" ); document.write( "(0-5)^2+(y-1)^2=(0+3)^2+(y+1)^2
\n" ); document.write( "25+y^2-2y+1=9+y^2+2y+1
\n" ); document.write( "-4y=-16
\n" ); document.write( "4y=16
\n" ); document.write( "y=4
\n" ); document.write( "..
\n" ); document.write( "ans:
\n" ); document.write( "Point on the y-axis=4
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