document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=328523>Question 328523</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write the equation of the line that is parallel to the line y=-3x+1 and passes through the point (4,2)\r<BR>\n" );
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document.write( "the answer i got is 3x+y=14<BR>\n" );
document.write( "i want to know if this is right </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #235305 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=235305\">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( "Except for a tiny error in semantics, you are spot on.  In point of fact, you cannot answer the question that was posed in the way it is posed.  \"Write <i><b>the</b></i> equation of a line\" is impossible.  In fact, there are an infinite number of equations that represent the set of ordered pairs for any given line.  What you wrote, and correctly, was <i><b>an</b></i> equation of the line parallel to <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y\ =\ -3x\ +\ 1\"> through <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large (4,2)\">.\r<BR>\n" );
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document.write( "To prove that it is impossible to write the equation of a line, I only have to show that there is more than one way to write such an equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 3kx\ +\ ky\ =\ 14k\"> where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE k\ in\ \mathbb{R}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ ky\ =\ -3kx\ +\ 14k\"> where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE k\ in\ \mathbb{R}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y\ -\ 2\ =\ \frac{12}{-4}(x\ -\ 4)\">\r<BR>\n" );
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document.write( "are all representations of the same set of ordered pairs. \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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