document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=485956>Question 485956</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the equation of the line (1/6,1/3) and (5/6,1)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #332297 by </B><A HREF=/tutors/aboutme.mpl?userid=mervh1967><B>mervh1967(6)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mervh1967><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=332297\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A straight line has the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=m%2Ax%2Bc ALIGN=MIDDLE  ALT=\"y=m%2Ax%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" > where the slope of the line is m and c is where the line crosses the y axis.\r<BR>\n" );
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document.write( "You have 2 solutions to this equation (1/6,1/3) and (5/6,1) so put these values in the straight line equation...<BR>\n" );
document.write( "the first (x,y) coordinate gives you <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3=m%2A%281%2F6%29%2Bc ALIGN=MIDDLE  ALT=\"1%2F3=m%2A%281%2F6%29%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the second leads to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=m%2A%285%2F6%29%2Bc ALIGN=MIDDLE  ALT=\"1=m%2A%285%2F6%29%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This is a simple simultaneous equation to find m and c.\r<BR>\n" );
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document.write( "Subtracting these 2 equations gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3-1%29=m%2A%281%2F6-5%2F6%29%2B%28c-c%29 ALIGN=MIDDLE  ALT=\"%281%2F3-1%29=m%2A%281%2F6-5%2F6%29%2B%28c-c%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2F3=m%2A%28-2%2F3%29 ALIGN=MIDDLE  ALT=\"-2%2F3=m%2A%28-2%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which gives m=1\r<BR>\n" );
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document.write( "now put m=1 into either the equations to find c, for example<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3=1%2A%281%2F6%29%2Bc ALIGN=MIDDLE  ALT=\"1%2F3=1%2A%281%2F6%29%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" > and then it is easy to show <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=1%2F6 ALIGN=MIDDLE  ALT=\"c=1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so the equation for the line is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%2B1%2F6 ALIGN=MIDDLE  ALT=\"y=x%2B1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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