document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1153791>Question 1153791</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #776075 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=776075\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line?<BR>\n" );
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document.write( "since the intercepts are given, it's<BR>\n" );
document.write( "-2x + 6y = -2*6 = -12<BR>\n" );
document.write( "x - 3y = 6 is the simplest.<BR>\n" );
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document.write( "The long way:<BR>\n" );
document.write( "find the slope m<BR>\n" );
document.write( "m = diffy/diffx = 2/6 = 1/3<BR>\n" );
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document.write( "y - y1 = m*(x - x1) where (x1,y1) is either point.<BR>\n" );
document.write( "y - 0 = (1/3)*(x - 6)<BR>\n" );
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document.write( "Also:<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
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document.write( "|x   y   1|\r\n" );
document.write( "|0  -2   1| = 0\r\n" );
document.write( "|6   0   1|\r\n" );
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document.write( "</PRE>\r<BR>\n" );
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document.write( "x*(-2*1 - 0*1) - y*(0*1 - 6*1) + 1*(0*0 - 6*-2) = 0<BR>\n" );
document.write( "-2x + 6y + 12 = 0<BR>\n" );
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document.write( "Several methods, several results, all equivalent.\r<BR>\n" );
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