document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=204539>Question 204539</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1) By looking at two linear equations, how can you tell that the corresponding lines are parallel? Give examples\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks, </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #154405 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><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=154405\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Tahoma\" size=1.5><BR>\n" );
document.write( "</pre><font size=4><b><BR>\n" );
document.write( "Particularly in your situation, you are looking linear equation in the two variables x and y.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Examples: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%5B1%5D%2By%5B1%5D=1 ALIGN=MIDDLE  ALT=\"-x%5B1%5D%2By%5B1%5D=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > & <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%5B2%5D%2By%5B2%5D=2 ALIGN=MIDDLE  ALT=\"-x%5B2%5D%2By%5B2%5D=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Following Slope-Intercept Form, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb ALIGN=MIDDLE  ALT=\"y=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B1%5D=x%5B1%5D%2B1 ALIGN=MIDDLE  ALT=\"y%5B1%5D=x%5B1%5D%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B1%5D=red%281%29x%5B1%5D%2B1 ALIGN=MIDDLE  ALT=\"y%5B1%5D=red%281%29x%5B1%5D%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B2%5D=x%5B2%5D%2B2 ALIGN=MIDDLE  ALT=\"y%5B2%5D=x%5B2%5D%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B2%5D=red%281%29x%5B2%5D%2B2 ALIGN=MIDDLE  ALT=\"y%5B2%5D=red%281%29x%5B2%5D%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "*It shows, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B1%5D=m%5B2%5D=1 ALIGN=MIDDLE  ALT=\"m%5B1%5D=m%5B2%5D=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> the two lines are <font color=blue>PARALLEL</font>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "To check,<BR>\n" );
document.write( "In Eqn 1, let Fy=0:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%2B0=1 ALIGN=MIDDLE  ALT=\"-x%2B0=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1 ALIGN=MIDDLE  ALT=\"x=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, X-intercept<BR>\n" );
document.write( "Let Fx=0:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%2By=1 ALIGN=MIDDLE  ALT=\"0%2By=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1 ALIGN=MIDDLE  ALT=\"y=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, Y-intercept\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "In Eqn 2: let Fy=0:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%2B0=2 ALIGN=MIDDLE  ALT=\"-x%2B0=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2 ALIGN=MIDDLE  ALT=\"x=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, X-intercept<BR>\n" );
document.write( "Let Fx=0:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%2By=2 ALIGN=MIDDLE  ALT=\"0%2By=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2 ALIGN=MIDDLE  ALT=\"y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, Y-intercept<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-6%2C6%2C-6%2C6%2Cgrid%281%29%2Cgraph%28300%2C300%2C-6%2C6%2C-6%2C6%2Cx%2B1%2Cx%2B2%29%2Cblue%28circle%28-1%2C0%2C.11%29%29%2Cblue%28circle%280%2C1%2C.11%29%29%2Cblue%28circle%28-2%2C0%2C.11%29%29%2Cblue%28circle%280%2C2%2C.11%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > ---> When you see the Slope (m) of one linear equation equals to the other eqn, they are parallel.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Thank you,<BR>\n" );
document.write( "Jojo</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );