document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=256399>Question 256399</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What happens to the value obtained for the slope if the coordinates of the two ordered pairs aren't subtracted in the same order?  Would you also be able to give me an example?\r<BR>\n" );
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document.write( "  Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #188579 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=188579\">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( "The formula for the slope is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ m\ =\ \frac{y_1\ -\ y_2}{x_1\ -\ x_2} \">\r<BR>\n" );
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document.write( "And if I understand your question correctly, you are asking what would happen if you did the following calculation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{y_2\ -\ y_1}{x_1\ -\ x_2} \">\r<BR>\n" );
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document.write( "instead.  The answer is to be found by considering the fact that for all real numbers <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large a\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large b\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ a\ -\ b\ =\ -\left(b\ -\ a\right)\">\r<BR>\n" );
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document.write( "Hence the error would cause the slope to have the incorrect sign.  In other words:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{y_2\ -\ y_1}{x_1\ -\ x_2}\ =\ -m\">\r<BR>\n" );
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document.write( "On the other hand, if you are asking what happens if you do:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{y_2\ -\ y_1}{x_2\ -\ x_1}\">\r<BR>\n" );
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document.write( "instead of\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{y_1\ -\ y_2}{x_1\ -\ x_2}\">\r<BR>\n" );
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document.write( "using the same principle, we can see that\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ m\ =\ \frac{y_1\ -\ y_2}{x_1\ -\ x_2}\ = \frac{-\left(y_2\ -\ y_1\right)}{-\left(x_2\ -\ x_1\right)}\ = \frac{y_2\ -\ y_1}{x_2\ -\ x_1}\ = m\">\r<BR>\n" );
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document.write( "Proving that it doesn't matter which you call Point 1 and which you call Point 2 so long as you remain consistent throughout.\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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