document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=38304>Question 38304</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the slopes of the assymptotes of the hyperbola with equation x²/64 - y²/36=1  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #23793 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=23793\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the slopes of the assymptotes of the hyperbola with equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F64+-+y%5E2%2F36=1 ALIGN=MIDDLE  ALT=\"x%5E2%2F64+-+y%5E2%2F36=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "The hyperbola is horizontal, so the slope is b/a ....<BR>\n" );
document.write( "a=8<BR>\n" );
document.write( "b=6<BR>\n" );
document.write( "and the center point is (0,0)<BR>\n" );
document.write( "Use point-slope form: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+yp+=+m%28x+-+xp%29 ALIGN=MIDDLE  ALT=\"y+-+yp+=+m%28x+-+xp%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where yp and xp are points<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+0+=+%286%2F8%29%28x+-+0%29 ALIGN=MIDDLE  ALT=\"y+-+0+=+%286%2F8%29%28x+-+0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+0+=+%28-6%2F8%29%28x+-+0%29 ALIGN=MIDDLE  ALT=\"y+-+0+=+%28-6%2F8%29%28x+-+0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%283%2F4%29x ALIGN=MIDDLE  ALT=\"y+=+%283%2F4%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-%283%2F4%29x ALIGN=MIDDLE  ALT=\"y+=+-%283%2F4%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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