document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150089>Question 150089</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the equation of the line passing through the point (2,1) and perpendicular to the line with the equation 3x-6y=1? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #110161 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=110161\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the equation of the line passing through the point (2,1) and perpendicular to the line with the equation 3x-6y=1?<BR>\n" );
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document.write( "Find the slope m of the line<BR>\n" );
document.write( "Put into standard slope intercept form y = mx+b<BR>\n" );
document.write( "3x-6y=1<BR>\n" );
document.write( "-6y = -3x + 1<BR>\n" );
document.write( "y = (1/2)x -1/6<BR>\n" );
document.write( "So m = 1/2<BR>\n" );
document.write( "A line perpendicular has a negative inverse slope, -1/m<BR>\n" );
document.write( "So m = -2<BR>\n" );
document.write( "Use the slope-intercept form again<BR>\n" );
document.write( "y-y1 = m*(x-x1)<BR>\n" );
document.write( "y-1 = -2*(x-2)<BR>\n" );
document.write( "y-1 = -2x+4<BR>\n" );
document.write( "2x+y = 5\r<BR>\n" );
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