document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=282417>Question 282417</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My Teacher has been of for ages and came in the other day to give us a homework sheet but the thing is we havent learnt any of this stuff so have looked everywhere on the internet for examples but cant find any so thought i would try this site.<BR>\n" );
document.write( "The question is:<BR>\n" );
document.write( "Find the equation of this line with the y-intercept=2 and passing through (2;6)\r<BR>\n" );
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document.write( "Would love if you could help with this question as i find it easier to work out the following questions if i can see how one was done first :) Thanks Youu </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #205057 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=205057\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "If the graph has a <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y\">-intercept of 2, then the line passes through the point (0, 2).  Since you also know that the line passes through (2, 6), you have two points which uniquely determine a line.  Use the two point form of the equation of a line:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y\ -\ y_1\ =\ \left(\frac{y_1\ -\ y_2}{x_1\ -\ x_2}\right)(x\ -\ x_1) \">\r<BR>\n" );
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document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \left(x_1,y_1\right)\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \left(x_2,y_2\right)\"> are the coordinates of the two given points.\r<BR>\n" );
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document.write( "In other words:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y\ -\ 2\ =\ \left(\frac{2\ -\ 6}{0\ -\ 2}\right)(x\ -\ 0) \">\r<BR>\n" );
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document.write( "You can do the arithmetic and the simplification.\r<BR>\n" );
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document.write( "Point of terminology.  You said the question is: \"Find the equation of this line with the y-intercept=2 and passing through (2,6)\"   Technically speaking, you can't do what this question asks.  There are an infinite number of equation representations for any given line, so you cannot find \"the\" equation of a line.  The only thing you can do is find \"an\" equation of a line.\r<BR>\n" );
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document.write( "And next time just ask the question.  You don't need to make all of those phony excuses about why you need the help.  The stuff about your teacher being off for a long time and you not learning this stuff -- Big Fat Lie.  The stuff about you \"looking all over the internet\" -- another Big Fat Lie.  Please show us the respect we deserve by not demonstrating that you think we are stupid enough to fall for your \"dog ate my homework\" excuses.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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