document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=29033>Question 29033</A>: <I><SPAN STYLE=\"word-break: break-all;\">   Find the real number n so that the given three points are collinear: (6,3), (n,-1), and (-3,-3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #15862 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=15862\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's one approach:\r<BR>\n" );
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document.write( "First, find the slope of the line using two of the known points.<BR>\n" );
document.write( "Then you can use the slope formula<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28y2-y1%29%2F%28x2-x1%29 ALIGN=MIDDLE  ALT=\"m+=+%28y2-y1%29%2F%28x2-x1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to find the value of n.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28y2-y1%29%2F%28x2-x1%29 ALIGN=MIDDLE  ALT=\"m+=+%28y2-y1%29%2F%28x2-x1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the points (6, 3) and (-3, -3) as (x1, y1) and (x2, y2)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28-3-3%29%2F%28-3-6%29 ALIGN=MIDDLE  ALT=\"m+=+%28-3-3%29%2F%28-3-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28-6%29%2F%28-9%29 ALIGN=MIDDLE  ALT=\"m+=+%28-6%29%2F%28-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+2%2F3 ALIGN=MIDDLE  ALT=\"m+=+2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now use the slope formula again, only this time, use the point (n, -1) as one of the two points. The other point can be either one of the other two. Use (6, 3). Using (n, -1) and (6, 3)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%283-%28-1%29%29%2F%286-n%29 ALIGN=MIDDLE  ALT=\"m+=+%283-%28-1%29%29%2F%286-n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+4%2F%286-n%29 ALIGN=MIDDLE  ALT=\"m+=+4%2F%286-n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > But <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+2%2F3 ALIGN=MIDDLE  ALT=\"m+=+2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%286-n%29+=+2%2F3 ALIGN=MIDDLE  ALT=\"4%2F%286-n%29+=+2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by (6-n)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+=+2%286-n%29%2F3 ALIGN=MIDDLE  ALT=\"4+=+2%286-n%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by 3.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12+=+2%286-n%29 ALIGN=MIDDLE  ALT=\"12+=+2%286-n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6+=+6-n ALIGN=MIDDLE  ALT=\"6+=+6-n\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 6 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+-n ALIGN=MIDDLE  ALT=\"0+=+-n\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+0 ALIGN=MIDDLE  ALT=\"n+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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