document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1065321>Question 1065321</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How to graph x + 3y = -12 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #680485 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=680485\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> start with x + 3y = -12\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "one easy way is to get the x and y intercepts.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "when x = 0, you get 3y = -12 which results in y = -4\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "when y = 0, you get x = -12.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "your y intercept is y = -4.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "your x intercept is x = -12\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "your two coordinate points are(-12,0) and (0,-4).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "plot those 2 points on your graph and then draw a straight line through them.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "that's your graph.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "it should look like this:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src= \"http://theo.x10hosting.com/2017/012401.jpg\" alt=\"$$$\" </>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "an alternative method is to convert the equation to slope intercept form.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "start with x + 3y = -12<BR>\n" );
document.write( "subtract x from both sides to get 3y = -x - 12<BR>\n" );
document.write( "divide both sies by 3 to get y = -x/3 - 12/3<BR>\n" );
document.write( "simplify this to get y = -1/3 * x - 4.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this equation tells you that the slope is -1/3 and the y intercept is -4.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y intercept of -4 means that its coordinate point is (0,-4).<BR>\n" );
document.write( "we solved for that earlier.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "to solve for the x intercept, we need to set y = 0.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the equation becomes 0 = -(1/3) * x - 4<BR>\n" );
document.write( "add 4 to both sides to get 4 = -(1/3) * x<BR>\n" );
document.write( "multiply both sides of the equation by -3 to get -12 = x<BR>\n" );
document.write( "x intercept of -12 means that its coordinate point is (-12,0).<BR>\n" );
document.write( "we also solved for that earlier.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "both methods will get you the same x and y intercepts.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "once you have those, just draw a line through them and you have your graph.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );