document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62658>Question 62658</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the equation of the set of all points equidistant from the x axis and (4,0).  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43452 by </B><A HREF=/tutors/aboutme.mpl?userid=jai_kos><B>jai_kos(139)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jai_kos><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=43452\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given a point (4 ,0) and \r<BR>\n" );
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document.write( "Equation along the \"x\" axis, i.e.  y = 0 \r<BR>\n" );
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document.write( "Distance between a point (x ,y) and the point ( 4 ,0) is given by\r<BR>\n" );
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document.write( "sqrt [ ( 0 -x) ^ 2  + ( 4 - y) ^2 ]  =  equal to the equation of line\r<BR>\n" );
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document.write( "sqrt [ ( 0 -x) ^ 2  + ( 4 - y) ^2 ]  =  y\r<BR>\n" );
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document.write( "Square on both sides of the baove equation, we get\r<BR>\n" );
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document.write( "[x ^ 2 + (  4 -y) ^2] = y ^ 2\r<BR>\n" );
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document.write( "Simplifying the above step we get,\r<BR>\n" );
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document.write( "x^2 + 16 + y ^2 - 8y = y^2\r<BR>\n" );
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document.write( "x ^ 2 -8y + 16 = 0\r<BR>\n" );
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document.write( "The above equation represent the set of all points equidistant from x -axis  and <BR>\n" );
document.write( "point ( 4, 0). </SPAN>\n" );
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