document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1124567>Question 1124567</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of tangent line at the point (2,1) on the circle 2x^2+2y^2=5x. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #740876 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=740876\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From implicit differentiation, we get:<BR>\n" );
document.write( "4x + 4y(dy/dx) = 5<BR>\n" );
document.write( "Thus the slope of the tangent line, dy/dx = (5 - 4x)/4y<BR>\n" );
document.write( "Using the point slope form and x = 2, y = 1, we get:<BR>\n" );
document.write( "y - 1 = ((5-8)/4)(x - 2)<BR>\n" );
document.write( "Simplify:<BR>\n" );
document.write( "y = (-3/4)x + 10/4<BR>\n" );
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