document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119600>Question 1119600</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the trisection points of the line segment joining (-6,2) and (3,8) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #735172 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=735172\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A( -6,2 )<BR>\n" );
document.write( "D( 3,8 )<BR>\n" );
document.write( "Let trisection points be B and C. so in order<BR>\n" );
document.write( "the points are A, B, C, and D<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "AB = BC<BR>\n" );
document.write( "BC = CD<BR>\n" );
document.write( "AB = CD<BR>\n" );
document.write( "using x-values<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5BB%5D+-%28-6%29+=+x%5BC%5D+-+x%5BB%5D+ ALIGN=MIDDLE  ALT=\"+x%5BB%5D+-%28-6%29+=+x%5BC%5D+-+x%5BB%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+-+x%5BC%5D+=+x%5BC%5D+-+x%5BB%5D+ ALIGN=MIDDLE  ALT=\"+3+-+x%5BC%5D+=+x%5BC%5D+-+x%5BB%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5BB%5D+%2B+6+=+3+-+x%5BC%5D+ ALIGN=MIDDLE  ALT=\"+x%5BB%5D+%2B+6+=+3+-+x%5BC%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5BB%5D+=+-3+-+x%5BC%5D+ ALIGN=MIDDLE  ALT=\"+x%5BB%5D+=+-3+-+x%5BC%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug this into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+-+2x%5BC%5D+=+-%28+-3+-+x%5BC%5D+%29+ ALIGN=MIDDLE  ALT=\"+3+-+2x%5BC%5D+=+-%28+-3+-+x%5BC%5D+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+-+2x%5BC%5D+=+3+%2B+x%5BC%5D+ ALIGN=MIDDLE  ALT=\"+3+-+2x%5BC%5D+=+3+%2B+x%5BC%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x%5BC%5D+=+0+ ALIGN=MIDDLE  ALT=\"+3x%5BC%5D+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5BC%5D+=+0+ ALIGN=MIDDLE  ALT=\"+x%5BC%5D+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5BB%5D+=+-3+-+0+ ALIGN=MIDDLE  ALT=\"+x%5BB%5D+=+-3+-+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5BB%5D+=+-3+ ALIGN=MIDDLE  ALT=\"+x%5BB%5D+=+-3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "Using y-values<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5BB%5D+-+2+=+y%5BC%5D+-+y%5BB%5D+ ALIGN=MIDDLE  ALT=\"+y%5BB%5D+-+2+=+y%5BC%5D+-+y%5BB%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8+-+y%5BC%5D+=+y%5BC%5D+-+y%5BB%5D+ ALIGN=MIDDLE  ALT=\"+8+-+y%5BC%5D+=+y%5BC%5D+-+y%5BB%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5BB%5D+-+2+=+8+-+y%5BC%5D+ ALIGN=MIDDLE  ALT=\"+y%5BB%5D+-+2+=+8+-+y%5BC%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5BB%5D+=+10+-+y%7BC%5D+ ALIGN=MIDDLE  ALT=\"+y%5BB%5D+=+10+-+y%7BC%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8+-+2y%5BC%5D+=+-%28+10+-+y%5BC%5D+%29+ ALIGN=MIDDLE  ALT=\"+8+-+2y%5BC%5D+=+-%28+10+-+y%5BC%5D+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8+-+2y%5BC%5D+=+-10+%2B+y%5BC%5D+ ALIGN=MIDDLE  ALT=\"+8+-+2y%5BC%5D+=+-10+%2B+y%5BC%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3y%5BC%5D+=+18+ ALIGN=MIDDLE  ALT=\"+3y%5BC%5D+=+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5BC%5D+=+6+ ALIGN=MIDDLE  ALT=\"+y%5BC%5D+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5BB%5D+=+10+-+6+ ALIGN=MIDDLE  ALT=\"+y%5BB%5D+=+10+-+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5BB%5D+=+4+ ALIGN=MIDDLE  ALT=\"+y%5BB%5D+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "( x[B], y[B] ) = ( -3,4 )<BR>\n" );
document.write( "( x[C], y[C] ) = ( 0, 6 )<BR>\n" );
document.write( "( -3,4 ) and ( 0,6 ) are trisection points\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );