document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=879934>Question 879934</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the straight line through A(1,4) which is perpendicular to the line passing through the points B(2,-2) and C(4,0). Hence find the area of the triangle ABC, giving your answer in the simplest possible form </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #531131 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</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=531131\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <b>Line BC</b>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280-%28-2%29%29%2F%284-2%29=1 ALIGN=MIDDLE  ALT=\"%280-%28-2%29%29%2F%284-2%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the slope.<BR>\n" );
document.write( "b=y-mx<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-2-1%2A2 ALIGN=MIDDLE  ALT=\"b=-2-1%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-4 ALIGN=MIDDLE  ALT=\"b=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y=x-4%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y=x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<b>Length BC</b><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%282-4%29%5E2%2B%28-2-0%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%282-4%29%5E2%2B%28-2-0%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%2B4%29 ALIGN=MIDDLE  ALT=\"sqrt%284%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%288%29 ALIGN=MIDDLE  ALT=\"sqrt%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28BC=2sqrt%288%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28BC=2sqrt%288%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<b>Line containing A and perpendicular to line BC</b><BR>\n" );
document.write( "Want slope <b>-1</b>.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Line%2C+y-4=-1%28x-1%29 ALIGN=MIDDLE  ALT=\"Line%2C+y-4=-1%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-4=-x%2B1 ALIGN=MIDDLE  ALT=\"y-4=-x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-x-3%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, one of the answers.\r<BR>\n" );
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document.write( "<b>Point of intersection these two lines</b><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-4=-x-3 ALIGN=MIDDLE  ALT=\"x-4=-x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-4=-3 ALIGN=MIDDLE  ALT=\"2x-4=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=4-3 ALIGN=MIDDLE  ALT=\"2x=4-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=1 ALIGN=MIDDLE  ALT=\"2x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1%2F2 ALIGN=MIDDLE  ALT=\"x=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Either equation line, y=-x-3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-1%2F2-6%2F2 ALIGN=MIDDLE  ALT=\"y=-1%2F2-6%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-7%2F2 ALIGN=MIDDLE  ALT=\"y=-7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Point on line BC, containing A is <b>(1/2, -7/2)</b>.\r<BR>\n" );
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document.write( "<b>What next?</b><BR>\n" );
document.write( "Find the distance from A(1,4) to (1/2, -7/2), call the distance AP.<BR>\n" );
document.write( "Find the area of the triangle ABC using <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%281%2F2%29BC%2AAP%29 ALIGN=MIDDLE  ALT=\"highlight%28%281%2F2%29BC%2AAP%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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