document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=411083>Question 411083</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the line containing the given point and perpendicular to the given line:<BR>\n" );
document.write( "(1,4)<BR>\n" );
document.write( "x-2y=6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #289279 by </B><A HREF=/tutors/aboutme.mpl?userid=rfadrogane><B>rfadrogane(214)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rfadrogane><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=rfadrogane><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=289279\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the line containing the given point and perpendicular to the given line:<BR>\n" );
document.write( "(1,4)<BR>\n" );
document.write( "x-2y=6<BR>\n" );
document.write( "Sol'n:<BR>\n" );
document.write( "Find the slope of the line first:<BR>\n" );
document.write( "2y=x-6<BR>\n" );
document.write( "y=(1/2)x-3<BR>\n" );
document.write( "m=1/2<BR>\n" );
document.write( "for the slope which is perpendicular is -1/m<BR>\n" );
document.write( "m=-2 (slope of the perpendicular line)\r<BR>\n" );
document.write( "\n" );
document.write( "at P(1,4)<BR>\n" );
document.write( "y-y1=m(x-x1)<BR>\n" );
document.write( "y-4=(1/2)(x-4)<BR>\n" );
document.write( "2(y-4)=x-4<BR>\n" );
document.write( "2y-8=x-4<BR>\n" );
document.write( "x+2y+4=0 ---answer<BR>\n" );
document.write( "^_^ </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );