document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1147041>Question 1147041</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of tangent to<BR>\n" );
document.write( "3x^2+4y^2-2x+6y-25=0 at line 2y-8x=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #768353 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=768353\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the equation of tangent to<BR>\n" );
document.write( "3x^2+4y^2-2x+6y-25=0 at line 2y-8x=0<BR>\n" );
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document.write( "\"at line 2y-8x=0\" makes no sense<BR>\n" );
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document.write( "3x^2+4y^2-2x+6y-25=0<BR>\n" );
document.write( "Differentiate implicitly.<BR>\n" );
document.write( "6x*dx + 8y*dy - 2dx + 6dy = 0<BR>\n" );
document.write( "(6x-2)dx = (-8y-6)dy<BR>\n" );
document.write( "dy/dx = -(3x-1)/(4y+3) = slope of the tangent line at any point on the ellipse<BR>\n" );
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