document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=450142>Question 450142</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I would like to know how to determine if the 2 lines are parallel, perpendicular or neither, how do I apply the formula, I always forget;\r<BR>\n" );
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document.write( "4x+8y=16<BR>\n" );
document.write( "3x+6y=7 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #309685 by </B><A HREF=/tutors/aboutme.mpl?userid=poliphob3.14><B>poliphob3.14(115)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=poliphob3.14><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=309685\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First you have to write equations in the 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;\" >.\r<BR>\n" );
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document.write( "Second you have to find the slopes:1) If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B1%5D=m%5B2%5D ALIGN=MIDDLE  ALT=\"m%5B1%5D=m%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > the lines are parallel.\r<BR>\n" );
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document.write( "2)If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B1%5D%2Am%5B2%5D=-1 ALIGN=MIDDLE  ALT=\"m%5B1%5D%2Am%5B2%5D=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > the lines are perpendicular.\r<BR>\n" );
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document.write( "Let solve our problem:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%284x%2B8y=16%2C+3x%2B6y=7%29 ALIGN=MIDDLE  ALT=\"system%284x%2B8y=16%2C+3x%2B6y=7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, written in slope-intercept\r<BR>\n" );
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document.write( "form is:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=%28-1%2F2%29x%2B2%2C+y=%28-1%2F2%29x%2B7%2F3%29 ALIGN=MIDDLE  ALT=\"system%28y=%28-1%2F2%29x%2B2%2C+y=%28-1%2F2%29x%2B7%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, since,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B1%5D=m%5B2%5D=-1%2F2 ALIGN=MIDDLE  ALT=\"m%5B1%5D=m%5B2%5D=-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "thus, the lines are parallel.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C+400%2C+-5%2C+6%2C+-5%2C+6%2C+%28-1%2F2%29x%2B2%2C+%28-1%2F2%29x%2B7%2F3%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C+400%2C+-5%2C+6%2C+-5%2C+6%2C+%28-1%2F2%29x%2B2%2C+%28-1%2F2%29x%2B7%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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