document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=387628>Question 387628</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the lines y = 3x + 7 and x + 2y = -10.  Are the lines parallel? Explain why by comparing the slopes of the lines. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #274034 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=274034\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Convert both equations into the \"slope-intercept\" form:<BR>\n" );
document.write( "y = mx + b<BR>\n" );
document.write( ".<BR>\n" );
document.write( "y = 3x + 7 <BR>\n" );
document.write( "is already in that form.<BR>\n" );
document.write( "By inspection, the slope is 3.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "and <BR>\n" );
document.write( "x + 2y = -10<BR>\n" );
document.write( "2y = -x-10<BR>\n" );
document.write( "y = (-1/2)x - 5<BR>\n" );
document.write( "The slope is -1/2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Conclusion: since the slopes are NOT the same, the lines are NOT parallel </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );