document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=949561>Question 949561</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation for the hyperbola that satisfies the given conditions.<BR>\n" );
document.write( "Asymptotes: <BR>\n" );
document.write( "y = ±x,<BR>\n" );
document.write( "hyperbola passes through <BR>\n" );
document.write( "(5, 4)\r<BR>\n" );
document.write( "\n" );
document.write( "Please explain<BR>\n" );
document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #579778 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=579778\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find an equation for the hyperbola that satisfies the given conditions.<BR>\n" );
document.write( "Asymptotes: <BR>\n" );
document.write( "y = ±x,<BR>\n" );
document.write( "hyperbola passes through <BR>\n" );
document.write( "(5, 4) <BR>\n" );
document.write( "***<BR>\n" );
document.write( "Hyperbola has a horizontal transverse axis. (given point(5,4) is below the asymptote line, y=x)<BR>\n" );
document.write( "Its standard form of equation:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "slope of asymptotes=1=b/a<BR>\n" );
document.write( "a=b<BR>\n" );
document.write( "center: (0,0) (asymptotes go thru the center)<BR>\n" );
document.write( "equation:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Fa%5E2-y%5E2%2Fa%5E2=1 ALIGN=MIDDLE  ALT=\"x%5E2%2Fa%5E2-y%5E2%2Fa%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2Fa%5E2-16%2Fa%5E2=1 ALIGN=MIDDLE  ALT=\"25%2Fa%5E2-16%2Fa%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Fa%5E2=1 ALIGN=MIDDLE  ALT=\"9%2Fa%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a^2=9<BR>\n" );
document.write( "b^2=9<BR>\n" );
document.write( "equation:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F9-y%5E2%2F9=1 ALIGN=MIDDLE  ALT=\"x%5E2%2F9-y%5E2%2F9=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );