document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=384718>Question 384718</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find in terms of t the equation of the line through the point (t,0) with gradient t. find the values of t for which the line passes through the point (5,6) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #272351 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=272351\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the point-slope form of a line, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-y%5Bp%5D=m%28x-x%5Bp%5D%29 ALIGN=MIDDLE  ALT=\"y-y%5Bp%5D=m%28x-x%5Bp%5D%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-0=t%28x-t%29 ALIGN=MIDDLE  ALT=\"y-0=t%28x-t%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=tx-t%5E2 ALIGN=MIDDLE  ALT=\"y=tx-t%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now use the point (5,6),<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6=t%2A5-t%5E2 ALIGN=MIDDLE  ALT=\"6=t%2A5-t%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E2-5t%2B6=0 ALIGN=MIDDLE  ALT=\"t%5E2-5t%2B6=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t-3%29%28t-2%29=0 ALIGN=MIDDLE  ALT=\"%28t-3%29%28t-2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Two solutions:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t-3=0 ALIGN=MIDDLE  ALT=\"t-3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=3 ALIGN=MIDDLE  ALT=\"t=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t-2=0 ALIGN=MIDDLE  ALT=\"t-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=2 ALIGN=MIDDLE  ALT=\"t=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-2%2C8%2C-2%2C8%2Cgrid%281%29%2Ccircle%285%2C6%2C0.2%29%2Cgraph%28300%2C300%2C-2%2C8%2C-2%2C8%2C0%2C2%28x-2%29%2C3%28x-3%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Ahmad, I tried to respond to your question but I got a bounceback. Hopefully you'll look here.\r<BR>\n" );
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document.write( "The answer is no.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5E2-6t-t%2B6=t%5E2-7t%2B6 ALIGN=MIDDLE  ALT=\"+t%5E2-6t-t%2B6=t%5E2-7t%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5E2-6t-t%2B6%3C%3Et%5E2-5t%2B6 ALIGN=MIDDLE  ALT=\"+t%5E2-6t-t%2B6%3C%3Et%5E2-5t%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "I made the same mistake in my first solution, then went back to verify and caught the mistake.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E2-5t%2B6=t%5E2-3t-2t%2B6 ALIGN=MIDDLE  ALT=\"t%5E2-5t%2B6=t%5E2-3t-2t%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E2-5t%2B6=t%28t-3%29-2%28t-3%29 ALIGN=MIDDLE  ALT=\"t%5E2-5t%2B6=t%28t-3%29-2%28t-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E2-5t%2B6=%28t-3%29%28t-2%29 ALIGN=MIDDLE  ALT=\"t%5E2-5t%2B6=%28t-3%29%28t-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );