document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1002361>Question 1002361</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the following two linear equations, determine whether the lines are parallel, perpendicular, or neither.  Show all work and explain your conclusion clearly.\r<BR>\n" );
document.write( "\n" );
document.write( "6x+7y=42<BR>\n" );
document.write( "7x=16+6y\r<BR>\n" );
document.write( "\n" );
document.write( "  <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #619292 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=619292\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you put them both into slope-intercept form, you can see their relationship better...so from<BR>\n" );
document.write( "6x+7y=42<BR>\n" );
document.write( "7x=16+6y<BR>\n" );
document.write( "we get<BR>\n" );
document.write( "7y = -6x + 42<BR>\n" );
document.write( "y = (-6/7)x + 6<BR>\n" );
document.write( "and<BR>\n" );
document.write( "6y = 7x - 16<BR>\n" );
document.write( "y = (7/6)x - 8/3<BR>\n" );
document.write( "Their slopes are negative reciprocals and the lines are thus perpendicular. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );