document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=702350>Question 702350</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The slope of the line y=3x+2 is 2, and the slope of a line 5y+3x=6 is 2. So are they parallel? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #432913 by </B><A HREF=/tutors/aboutme.mpl?userid=Simnepi><B>Simnepi(216)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Simnepi><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=Simnepi><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=432913\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> unfortunately, you are wrong.<BR>\n" );
document.write( "The slope of the line y=3x+2 is not 2!<BR>\n" );
document.write( "The equation of a straight line is usually written in the form <BR>\n" );
document.write( "y=mx+c where m, the number in front of the x, is the slope (the gradient) of the line and c is the intercept (this is where it crosses the y axis on the graph).<BR>\n" );
document.write( "So considering the line y=3x+2, the slope is, therefore, 3.<BR>\n" );
document.write( "All lines with the same gradient are parallel.<BR>\n" );
document.write( "the other line 5y+3x=6 looks like it may be parallel but we have to rearrange the equation into the form y=mx+c to compare them.<BR>\n" );
document.write( "So let's rearrange 5y+3x=6!<BR>\n" );
document.write( "first move the +3x across the equals sign, changing its sign as we do so<BR>\n" );
document.write( "this gives<BR>\n" );
document.write( "5y=6-3x.<BR>\n" );
document.write( "Already we have a -3x instead of a +3x so these lines are not parallel! </SPAN>\n" );
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