document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=378771>Question 378771</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2x+y=-2<BR>\n" );
document.write( "6x+3y=6 <BR>\n" );
document.write( "I am not understanding how to graph this equation? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #269069 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=269069\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The graph will be two lines. As you know, two lines can have only one of three possible options when you plot them.<BR>\n" );
document.write( "1) They never intersect (they are parallel)<BR>\n" );
document.write( "2) They are the same line (coindicent) so they have all points in common<BR>\n" );
document.write( "3) They intersaect at a single point\r<BR>\n" );
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document.write( "To graph these two lines:<BR>\n" );
document.write( "Pick one equation<BR>\n" );
document.write( "pick one value for x. <BR>\n" );
document.write( "Then solve for y.<BR>\n" );
document.write( "Plot that point.<BR>\n" );
document.write( "Now pick a second value for x,<BR>\n" );
document.write( "solve for y<BR>\n" );
document.write( "plot that point<BR>\n" );
document.write( "Draw the line through the two points.\r<BR>\n" );
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document.write( "Now take the second equation and do the same set of steps.<BR>\n" );
document.write( "Pick two vlaues for x and solve for y.<BR>\n" );
document.write( "Plot the points.<BR>\n" );
document.write( "Draw that second line.\r<BR>\n" );
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document.write( "Then see which of the three options above apply<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C-2+-2x%2C+2+-+2x%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C-2+-2x%2C+2+-+2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "These two lines have the same slope, so they are parallel. They never touch<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2By=-2 ALIGN=MIDDLE  ALT=\"2x%2By=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-2x+-2 ALIGN=MIDDLE  ALT=\"y+=+-2x+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > slope is -2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2B3y=6 ALIGN=MIDDLE  ALT=\"6x%2B3y=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y+=+-6x+%2B+6 ALIGN=MIDDLE  ALT=\"3y+=+-6x+%2B+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-2x+%2B2 ALIGN=MIDDLE  ALT=\"y+=+-2x+%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > slope is also -2. <BR>\n" );
document.write( "Same slope means they are parallel </SPAN>\n" );
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