document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=818627>Question 818627</A>: <I><SPAN STYLE=\"word-break: break-all;\"> fine the asymptotes of the hyperbola given by x^2/16-y^2/36=1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #492796 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=492796\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the asymptotes of the hyperbola given by<BR>\n" );
document.write( "x^2/16-y^2/36=1<BR>\n" );
document.write( "Given equation is that of a hyperbola with horizontal transverse axis and center at the origin (0,0)<BR>\n" );
document.write( "Asymptotes are straight lines that go through the center and take the standard form: y=mx+b, m=slope, b=y-intercept<BR>\n" );
document.write( "slopes of asymptotes for hyperbolas with horizontal transverse axis=±b/a<BR>\n" );
document.write( "For given hyperbola:<BR>\n" );
document.write( "a^2=16<BR>\n" );
document.write( "a=&#8730;16=4<BR>\n" );
document.write( "b^2=36<BR>\n" );
document.write( "b=&#8730;36=6<BR>\n" );
document.write( "slopes of asymptotes=±b/a=±6/4=±3/2<BR>\n" );
document.write( "equation of asymptote with positive slope:<BR>\n" );
document.write( "y=mx+b<BR>\n" );
document.write( "y=3x/2+b<BR>\n" );
document.write( "since asymptote goes thru center (0,0), b=0<BR>\n" );
document.write( "so, y=3x/2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "equation of asymptote with negative slope:<BR>\n" );
document.write( "y=-3x/2 </SPAN>\n" );
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