document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=53749>Question 53749</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A line contains the points C (4 1/2, -3) and D (6 1/2, 6) What is the slpe of all lines perpendicular to CD?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #35964 by </B><A HREF=/tutors/aboutme.mpl?userid=rchill><B>rchill(405)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rchill><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=35964\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You first need to determine the slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m ALIGN=MIDDLE  ALT=\"m\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the two points.  Just substitute into the slope formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28-3-6%29%2F%284.5-6.5%29 ALIGN=MIDDLE  ALT=\"m=%28-3-6%29%2F%284.5-6.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  That reduces to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=-9%2F-2 ALIGN=MIDDLE  ALT=\"m=-9%2F-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=9%2F2 ALIGN=MIDDLE  ALT=\"m=9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The slope of any line perpendicular to that slope is just the reciprical and change the sign.  So, that means a perpendicular line to the one containing your points is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2F9 ALIGN=MIDDLE  ALT=\"-2%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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