document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=27025>Question 27025</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write an equation for the line that is perpendicular to x/5 - 3y = 6 and passes through the point (-2,4). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #14694 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=14694\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's what I get:<BR>\n" );
document.write( "x/5 - 3y = 6<BR>\n" );
document.write( "subtract x/5 from both sides<BR>\n" );
document.write( "- 3y = -x/5 + 6<BR>\n" );
document.write( "divide both sides by 3<BR>\n" );
document.write( "-y = -x/15 + 2<BR>\n" );
document.write( "multiply both sides by -1<BR>\n" );
document.write( "y = x/15 + 2<BR>\n" );
document.write( "this is in the form y = mx + b where m iis the slope<BR>\n" );
document.write( "so m = 1/15<BR>\n" );
document.write( "a line perpendicular to this one will have a slope of -1/m<BR>\n" );
document.write( "where m = 1/15<BR>\n" );
document.write( "-1/(1/15) = -15<BR>\n" );
document.write( "so the equation that is per pendicular has the form<BR>\n" );
document.write( "y = -15x + b<BR>\n" );
document.write( "and goes through the point (-2, 4)<BR>\n" );
document.write( "4 = -15 * (-2) + b<BR>\n" );
document.write( "4 = 30 + b<BR>\n" );
document.write( "subtract 30 from both sides<BR>\n" );
document.write( "b = -26<BR>\n" );
document.write( "so, I get y = 15x -26 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );