document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=767187>Question 767187</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3x^2+xy+3y^2=7; (1,1) Write the equation for the tangent line in slope-intercept form. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #467479 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=467479\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3x^2+xy+3y^2=7; (1,1) Write the equation for the tangent line in slope-intercept form.<BR>\n" );
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document.write( "Do you mean tangent at the point (1,1)?<BR>\n" );
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document.write( "3x^2+xy+3y^2=7<BR>\n" );
document.write( "Differentiate implicitly<BR>\n" );
document.write( "6x*dx + y*dx + x*dy + 6y*dy = 0<BR>\n" );
document.write( "(6x + y)dx + (x + 6y)dy = 0<BR>\n" );
document.write( "dy/dx = -(6x+y)/(6y+x)<BR>\n" );
document.write( "@(1,1) = -1<BR>\n" );
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document.write( "m = -1<BR>\n" );
document.write( "y = mx + b<BR>\n" );
document.write( "1 = -1*1 + b<BR>\n" );
document.write( "b = 2<BR>\n" );
document.write( "--> y = -x + 2<BR>\n" );
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