document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=515964>Question 515964</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can you please help me find, the equation of the line: passing through (6,6) and perpendicular to 5x-3y-8=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #344235 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=344235\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> can you please help me find, the equation of the line: passing through (6,6) and perpendicular to 5x-3y-8=0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Put the equation in the slope/intercept form to find the slope<BR>\n" );
document.write( "5x - 3y - 8 = 0<BR>\n" );
document.write( "-3y = -5x + 8<BR>\n" );
document.write( "y has to be positive, multiply both sides by -1<BR>\n" );
document.write( "3y = 5x - 8<BR>\n" );
document.write( "divide both sides by 3<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F3 ALIGN=MIDDLE  ALT=\"5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F3 ALIGN=MIDDLE  ALT=\"8%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "slope m1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F3 ALIGN=MIDDLE  ALT=\"5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the relationship of perpendicular lines: is m1*m2 = -1, to find m2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F3 ALIGN=MIDDLE  ALT=\"5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >*m2 = -1<BR>\n" );
document.write( "multiply both sides by 3/5<BR>\n" );
document.write( "m2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F5 ALIGN=MIDDLE  ALT=\"-3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the slope of the perpendicular line<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Use the point/slope form to find the equation of the perpendicular line<BR>\n" );
document.write( "y - y1 = m(x - x1)<BR>\n" );
document.write( "x1 = 6, y1 = 6, m=-3/5<BR>\n" );
document.write( ":<BR>\n" );
document.write( "y - 6 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F5 ALIGN=MIDDLE  ALT=\"-3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >(x - 6)<BR>\n" );
document.write( "y - 6 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F5 ALIGN=MIDDLE  ALT=\"-3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >x - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-18%2F5 ALIGN=MIDDLE  ALT=\"-18%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y - 6 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F5 ALIGN=MIDDLE  ALT=\"-3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 3.6<BR>\n" );
document.write( "y  = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F5 ALIGN=MIDDLE  ALT=\"-3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 3.6 + 6<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F5 ALIGN=MIDDLE  ALT=\"-3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >x + 9.6; the equation of the perpendicular line<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this, substitute 6 for x in the equation and ensure that y = 6<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );