document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=581035>Question 581035</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the rational function with horizontal asymptote y=-6 and that passes through the points (-2,-2) and (1,-5). I know you have to plug in the points for x and y, and I know how to solve questions already giving you 2 asymptotes, but I'm completely lost on this. o.o </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #371411 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=371411\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the rational function with horizontal asymptote y=-6 and that passes through the points (-2,-2) and (1,-5). I know you have to plug in the points for x and y, <BR>\n" );
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document.write( "y = (6x+a)/(x+b)<BR>\n" );
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document.write( "Substitute each point to be 2 equations in a and b.<BR>\n" );
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document.write( "-2 = (-12+a)/(-2+b)<BR>\n" );
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document.write( "-5 = (6+a)/(1+b)<BR>\n" );
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document.write( "Rearrange each equation:<BR>\n" );
document.write( "4-2b = -12+a<BR>\n" );
document.write( "-5-5b = 6+a<BR>\n" );
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document.write( "Rearrange:<BR>\n" );
document.write( "a + 2b = 16<BR>\n" );
document.write( "a + 5b = -11<BR>\n" );
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document.write( "Subtract and solve for \"b\":<BR>\n" );
document.write( "3b = -27<BR>\n" );
document.write( "b = -9<BR>\n" );
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document.write( "Solve for \"a\":<BR>\n" );
document.write( "a + 2b = 16<BR>\n" );
document.write( "a + 2*-9 = 16<BR>\n" );
document.write( "a -18 = 16<BR>\n" );
document.write( "a = 34<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "y = (6x - 34)/(x-9)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============== </SPAN>\n" );
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