document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=911963>Question 911963</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For what value of k  are the graphs of 12y=-3x+8 and 6y=kx-5 perpendicular? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #553463 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=553463\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 12y=-3x+8\r<BR>\n" );
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document.write( "y=(-3x+8)/12\r<BR>\n" );
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document.write( "y = (-3/12)x + 8/12\r<BR>\n" );
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document.write( "y = (-1/4)x + 2/3\r<BR>\n" );
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document.write( "The slope is -1/4\r<BR>\n" );
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document.write( "6y=kx-5\r<BR>\n" );
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document.write( "y=(kx-5)/6\r<BR>\n" );
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document.write( "y = (k/6)x - 5/6\r<BR>\n" );
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document.write( "The slope is k/6\r<BR>\n" );
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document.write( "The two slopes -1/4 and k/6 must multiply to -1 if they are form perpendicular lines\r<BR>\n" );
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document.write( "(-1/4)*(k/6) = -1\r<BR>\n" );
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document.write( "-k/24 = -1\r<BR>\n" );
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document.write( "-k = -1*24\r<BR>\n" );
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document.write( "-k = -24\r<BR>\n" );
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document.write( "k = 24\r<BR>\n" );
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document.write( "So the answer is k = 24 </SPAN>\n" );
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