document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=179107>Question 179107</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The points )1,3) (2,5) (8,17) (50,101) and (1000,2001) all lie on line M. The points (1,-1) (2,-3) (8,-15) (50,-99) and (1000,-1999) all lie on line N. Form the equations of both the lines and show your work. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #134055 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=134055\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "The equation of a line passing through two points is given by the two-point form:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y - y_1 = \frac {y_2 - y_1}{x_2 - x_1}(x - x_1)\">\r<BR>\n" );
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document.write( "Select two points from the first set of points:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large P_1 = (1, 3)\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large P_2 = (2, 5)\">\r<BR>\n" );
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document.write( "Substitute the given coordinates:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y - 3 = \frac {5 - 3}{2 - 1}(x - 1)\">\r<BR>\n" );
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document.write( "Perform the indicated arithmetic:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y - 3 = 2(x - 1)\">\r<BR>\n" );
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document.write( "Solve for <i>y</i> to get the slope-intercept form:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y = 2x + 1\">\r<BR>\n" );
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document.write( "Now, since you were given all of those other points, and you weren't told that line M is a straight line, you need to insert the coordinates of all the other points, one point at a time, into this equation to verify that they are all actually on this line.  Simply put, verify that each <i>y</i>-coordinate is two times the <i>x</i>-coordinate plus 1.\r<BR>\n" );
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document.write( "Next, repeat the process for the other set of points to create your other equation.\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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