document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=824810>Question 824810</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The line h contains the points (6,-2) and (-4,10). The equation of the line k is ax+6y+12=0 and k is perpendicular to h. Find the value of the real number a. Please help..  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #496811 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=496811\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The line h has the slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810-%28-2%29%29%2F%28-4-6%29=12%2F%28-10%29=-6%2F5 ALIGN=MIDDLE  ALT=\"%2810-%28-2%29%29%2F%28-4-6%29=12%2F%28-10%29=-6%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The line, k, is also 6y=-ax-12,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%28a%2F6%29x-2 ALIGN=MIDDLE  ALT=\"y=-%28a%2F6%29x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >---------line k.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Line h perpendicular to line k means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28%28-6%2F5%29%2A%28-a%2F6%29=-1%29 ALIGN=MIDDLE  ALT=\"highlight_green%28%28-6%2F5%29%2A%28-a%2F6%29=-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The typically stated rule for this is, if two perpendicular lines in a plane have slopes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B1%5D ALIGN=MIDDLE  ALT=\"m%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B2%5D ALIGN=MIDDLE  ALT=\"m%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B1%5Dm%5B2%5D=-1 ALIGN=MIDDLE  ALT=\"m%5B1%5Dm%5B2%5D=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );