document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189116>Question 1189116</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two lines L1 :2y-3x-6=0and L2 :3y+x-20=0 intersect at point A. A third line L3 is perpendicular to L2 at point A. Find the equation of L3 in the Form y=mx+c where m and c are constants </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #820366 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=820366\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the intersection point.<BR>\n" );
document.write( "From L2, x=20-3y<BR>\n" );
document.write( "so 2y-60+9y-6=0 by substitution<BR>\n" );
document.write( "11y=66<BR>\n" );
document.write( "y=6<BR>\n" );
document.write( "x=2<BR>\n" );
document.write( "They intersect at (2, 6)<BR>\n" );
document.write( "L2 equation is also y=(-1/3)x+20/3<BR>\n" );
document.write( "slope of the desired line is negative reciprocal of -1/3 or 3<BR>\n" );
document.write( "point slope formula is y-y1=m (x-x1),m slope,(x1, y1) point<BR>\n" );
document.write( "y-6=3(x-2)<BR>\n" );
document.write( "y=3x or y=3x+0.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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