document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=576496>Question 576496</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line with slope -1 that is the tangent to the curve y=1/x-1\r<BR>\n" );
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document.write( "I'm pretty sure this involves rearranging this into a quadratic equation then using the discriminant (b^2-4ac) of the quadratic formula to find \"k\" in y=mx+k. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #369965 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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/cgi-bin/show-face.mpl?user=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=369965\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Do you mean\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y = \frac{1}{x} - 1\">, or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y = \frac{1}{x-1}\">?\r<BR>\n" );
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document.write( "In either case, quadratics or discriminants won't help. Take dy/dx of both sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{dy}{dx} = -x^2\">, or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{dy}{dx} = -(x-1)^2\">\r<BR>\n" );
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document.write( "depending on whether you intend (1/x)-1 or 1/(x-1). Set dy/dx = -1, solve for x, find the equation of the tangent line using point-slope form (since you have the slope and you can find a point on the graph). </SPAN>\n" );
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