document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=242056>Question 242056</A>: <I><SPAN STYLE=\"word-break: break-all;\"> step by step instructions for what is the equation of the line that contains the points with (x,y)coordinates (-3,7) and (5,-1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #177207 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=177207\">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( "What you ask cannot be done.  You cannot write \"the\" equation of a line that contains a given set of points.  That is because there are an infinite number of representations of such a line.  The best you can do is write \"an\" equation of the desired line.  Herewith the steps of procedure for writing an equation of a line through any two given points <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)\">.\r<BR>\n" );
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document.write( "Step 1:\r<BR>\n" );
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document.write( "Write out the two-point form for 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( "Step 2:\r<BR>\n" );
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document.write( "Substitute the values of the given points into the general form equation.\r<BR>\n" );
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document.write( "Step 3:\r<BR>\n" );
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document.write( "Perform all indicated arithmetic and simplify the result of Step 2.\r<BR>\n" );
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document.write( "Step 4: (optional unless required by the problem instructions or instructor's directions)\r<BR>\n" );
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document.write( "Rearrange the result of Step 3 into an appropriate form, generally either slope-intercept form:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ mx\ +\ b\">\r<BR>\n" );
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document.write( "or Standard Form:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ Ax\ +\ By\ = C\">\r<BR>\n" );
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document.write( "Note:  Some texts require that A, B, and C be integers.\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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