document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=767193>Question 767193</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all the value/s of t such that the points A(t-1, 2t-1), B(4, 1-2t) and C( -3, 3t+5) lie on the same line </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #467483 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=467483\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Q:<BR>\n" );
document.write( "Find all the value/s of t such that the points A(t-1, 2t-1), B(4, 1-2t) and C( -3, 3t+5) lie on the same line<BR>\n" );
document.write( "--------------------------------------------------------------------------------<BR>\n" );
document.write( "A:<BR>\n" );
document.write( "slope of AB = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%281-2t%29+-+%282t-1%29%29%2F%284+-+%28t-1%29%29 ALIGN=MIDDLE  ALT=\"%28%281-2t%29+-+%282t-1%29%29%2F%284+-+%28t-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-4t%2B2%29%2F%28-t%2B5%29 ALIGN=MIDDLE  ALT=\"%28-4t%2B2%29%2F%28-t%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "slope of AC = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283t%2B5%29+-+%282t-1%29%29%2F%28-3-%28t-1%29%29 ALIGN=MIDDLE  ALT=\"%28%283t%2B5%29+-+%282t-1%29%29%2F%28-3-%28t-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t%2B6%29%2F%28-t-2%29 ALIGN=MIDDLE  ALT=\"%28t%2B6%29%2F%28-t-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-4t%2B2%29%2F%28-t%2B5%29 ALIGN=MIDDLE  ALT=\"%28-4t%2B2%29%2F%28-t%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t%2B6%29%2F%28-t-2%29 ALIGN=MIDDLE  ALT=\"%28t%2B6%29%2F%28-t-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-4t%2B2%29%28-t-2%29 ALIGN=MIDDLE  ALT=\"%28-4t%2B2%29%28-t-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-t%2B5%29%28t%2B6%29 ALIGN=MIDDLE  ALT=\"%28-t%2B5%29%28t%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4t%5E2+%2B+6t+-+4 ALIGN=MIDDLE  ALT=\"4t%5E2+%2B+6t+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-t%5E2+-t+%2B+30 ALIGN=MIDDLE  ALT=\"-t%5E2+-t+%2B+30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5t%5E2+%2B+7t+-+34+=+0 ALIGN=MIDDLE  ALT=\"5t%5E2+%2B+7t+-+34+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(5t + 17)(t - 2) = 0<BR>\n" );
document.write( "5t + 17 = 0 or t - 2 = 0<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-17%2F5%29 ALIGN=MIDDLE  ALT=\"-17%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > OR 2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );