document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=44066>Question 44066</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PLease help!!!  determine algebraically whether the lines are parallel, perpendicular or neither.  state the number of solutions.\r<BR>\n" );
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document.write( "y = 1/2x + 3<BR>\n" );
document.write( "x - 2y = -6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #28993 by </B><A HREF=/tutors/aboutme.mpl?userid=adamchapman><B>adamchapman(301)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=adamchapman><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=28993\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> So you have two lines<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%2F2+%2B+3 ALIGN=MIDDLE  ALT=\"y+=+x%2F2+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >     ..1<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+2y+=+-6 ALIGN=MIDDLE  ALT=\"x+-+2y+=+-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >     ..2<BR>\n" );
document.write( "rearrange equation (..2) so that it is in the form \"y=mx+c\":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y=x%2B6 ALIGN=MIDDLE  ALT=\"2y=x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%2F2%2B3 ALIGN=MIDDLE  ALT=\"y=x%2F2%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >          ..3<BR>\n" );
document.write( "Note that equations (..1) and (..3) are exactly the same!<BR>\n" );
document.write( "This tells us that the two lines are the same. They both have the same gradient (1/2), and if you give x ANY value you want, both equations (..1) and (..2) will ALWAYS solve the same y value. There are infinite solutions!\r<BR>\n" );
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document.write( "I hope this helps <BR>\n" );
document.write( "P.S. I am trying to start up my own homework help website. I would be extremely grateful if you would e-mail me some feedback on the help you received to adam.chapman@student.manchester.ac.uk  </SPAN>\n" );
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