document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=54479>Question 54479</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line (in slope-intercept form) that passes through the origin and the center of the circle 2x^2 + 2y^2 + 12x + 8y + 9 = 0. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #36728 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=36728\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the line (in slope-intercept form) that passes through the origin and the center of the circle 2x^2 + 2y^2 + 12x + 8y + 9 = 0.<BR>\n" );
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document.write( "Put the circle equation in the center-radius form, as follows:<BR>\n" );
document.write( "2(x^2+x+?) + 2(y^2+4y+?)=-9<BR>\n" );
document.write( "Complete the square to get:<BR>\n" );
document.write( "2(x^2+x+1/4) + 2(y^2+4y+4)= -9+(1/2)+8<BR>\n" );
document.write( "As you can see, this circle has a negative radius.<BR>\n" );
document.write( "Might as well stop here.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );