document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=847799>Question 847799</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the equations of the asymptotes of the hyperbola x^2 -9y^2=18 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #511477 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=511477\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the equations of the asymptotes of the hyperbola <BR>\n" );
document.write( "x^2 -9y^2=18<BR>\n" );
document.write( "x^2/18-y^2/2<BR>\n" );
document.write( "hyperbola has a horizontal transverse axis with center at the origin.<BR>\n" );
document.write( "Its standard form of equation: x^2/a^2-y^2/b^2<BR>\n" );
document.write( "For given hyperbola:<BR>\n" );
document.write( "a^2=18<BR>\n" );
document.write( "a=&#8730;18<BR>\n" );
document.write( "b^2=2<BR>\n" );
document.write( "b=&#8730;2<BR>\n" );
document.write( "For hyperbolas with a horizontal transverse axis:<BR>\n" );
document.write( "slopes of asymptotes=±b/a=±&#8730;(2/18)=±(1/3)<BR>\n" );
document.write( "2 equations for asymptotes:<BR>\n" );
document.write( "y=x/3<BR>\n" );
document.write( "y=-x/3 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );