document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=705949>Question 705949</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do i decide whether the graphs of the two equations are parallel lines <BR>\n" );
document.write( "y=2x-12<BR>\n" );
document.write( "6x+3y=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #435183 by </B><A HREF=/tutors/aboutme.mpl?userid=filboi><B>filboi(35)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=filboi><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=435183\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The two equations are parallel lines if their slopes are equal. Meaning: if they have the same slope, they do not intersect at any point and therefore parallel to each other. \r<BR>\n" );
document.write( "\n" );
document.write( "First, change the equations to the format y=mx + b. In this equation, m is the slope.\r<BR>\n" );
document.write( "\n" );
document.write( "y=2x-12; m=2\r<BR>\n" );
document.write( "\n" );
document.write( "6x+3y=0 ==> 3y=-6x ==> y=-2x; m=-2\r<BR>\n" );
document.write( "\n" );
document.write( "You will notice that the values of the slope are equal but different in sign. Therefore, they are two intersecting lines and are in fact perpendicular to each other. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );