document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=523777>Question 523777</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the value on K for which the graphs of Kx-2y+13=0 and 9x-6y+11=0 are perpendicular </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #347450 by </B><A HREF=/tutors/aboutme.mpl?userid=Maths68><B>Maths68(1474)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Maths68><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/cgi-bin/show-face.mpl?user=Maths68><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=347450\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Kx-2y+13=0 <BR>\n" );
document.write( "-2y=-kx-13=0<BR>\n" );
document.write( "-2y/-2=(-kx-13)/-2<BR>\n" );
document.write( "y=(k/2)x+13/2............(1)\r<BR>\n" );
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document.write( "Slope = k/2\r<BR>\n" );
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document.write( "9x-6y+11=0 <BR>\n" );
document.write( "-6y=-9x-11<BR>\n" );
document.write( "-6y/-6=(-9x-11)/-6<BR>\n" );
document.write( "y=(9/6)x+11/6<BR>\n" );
document.write( "y=(3/2)x+11/6<BR>\n" );
document.write( "y=3x/2+11/6.............(3)\r<BR>\n" );
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document.write( "slope = 3/2<BR>\n" );
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document.write( "Since lines are perpendicular, multiplication of their slopes will result in (-1)\r<BR>\n" );
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document.write( "3/2 * k/2 = -1<BR>\n" );
document.write( "3k/4=-1<BR>\n" );
document.write( "3k=-4<BR>\n" );
document.write( "k=-4/3\r<BR>\n" );
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document.write( "Value of K will be -4/3\r<BR>\n" );
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document.write( "Check<BR>\n" );
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document.write( "y=(k/2)x+13/2............(1)<BR>\n" );
document.write( "Put the value of k in above equation<BR>\n" );
document.write( "y=(-4/3)(1/2)x+13/2<BR>\n" );
document.write( "y=(-2/3)x+13/2\r<BR>\n" );
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document.write( " .........(4)<BR>\n" );
document.write( ".............(3)\r<BR>\n" );
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document.write( "Graph<BR>\n" );
document.write( "Red Line y=-2x/3+13/2<BR>\n" );
document.write( "Green Line y=3x/2+11/6<BR>\n" );
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document.write( " </SPAN>\n" );
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