document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=159240>Question 159240</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Work the following problems and determine if the line is Parallel, Perpendicular, or neither:\r<BR>\n" );
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document.write( "l1 : -3y = 24x + 6\r<BR>\n" );
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document.write( "l2 : x-8y = -12 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #117385 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=117385\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> l1 : -3y = 24x + 6<BR>\n" );
document.write( "y=24x/-3+6/-3 <BR>\n" );
document.write( "y=-8x+2 (red line) this line has a slope=-8<BR>\n" );
document.write( "l2 : x-8y = -12<BR>\n" );
document.write( "-8y=-x-12<BR>\n" );
document.write( "y=-x/-8-12/-8<BR>\n" );
document.write( "y=x/8+3/2 (green line) this line has a slope=1/8.<BR>\n" );
document.write( "Therefore these lines are perpendicular to each other.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+-8x+%2B2%2C+x%2F8+%2B3%2F2%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+-8x+%2B2%2C+x%2F8+%2B3%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (graph 300x300 pixels, x from -10 to 10, y from -10 to 10, of TWO functions -8x +2 and -x/8 +3/2).  </SPAN>\n" );
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