document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=547181>Question 547181</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the value of K to the right (K-2)x - (K-1)y - 7 = 0 is perpendicular to 2x - 7y +5 = 0\r<BR>\n" );
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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 #356401 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5396)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=356401\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If two lines are perpendicular, the product of their slopes is -1. And if  the product of the slopes of two lines is -1, the lines are perpendicular.<BR>\n" );
document.write( "Solving the two equations for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >, I get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28K-2%29x+-+%28K-1%29y+-+7+=+0 ALIGN=MIDDLE  ALT=\"%28K-2%29x+-+%28K-1%29y+-+7+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28K-2%29x+-+7+=%28K-1%29y+ ALIGN=MIDDLE  ALT=\"%28K-2%29x+-+7+=%28K-1%29y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28K-2%29x%2F%28K-1%29+-+7+%2F%28K-1%29 ALIGN=MIDDLE  ALT=\"y=%28K-2%29x%2F%28K-1%29+-+7+%2F%28K-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=slope=%28K-2%29%2F%28K-1%29 ALIGN=MIDDLE  ALT=\"slope=%28K-2%29%2F%28K-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+-+7y+%2B5+=+0 ALIGN=MIDDLE  ALT=\"2x+-+7y+%2B5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+%2B5+=+7y ALIGN=MIDDLE  ALT=\"2x+%2B5+=+7y\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%282%2F7%29x+%2B5%2F7 ALIGN=MIDDLE  ALT=\"y=%282%2F7%29x+%2B5%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=slope=2%2F7 ALIGN=MIDDLE  ALT=\"slope=2%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For the two lines to be perpendicular, it has to be:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28K-2%29%2F%28K-1%29%29%282%2F7%29=-1 ALIGN=MIDDLE  ALT=\"%28%28K-2%29%2F%28K-1%29%29%282%2F7%29=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28K-2%29%282%2F7%29=-%28K-1%29 ALIGN=MIDDLE  ALT=\"%28K-2%29%282%2F7%29=-%28K-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28K-2%29=-7%28K-1%29%29 ALIGN=MIDDLE  ALT=\"2%28K-2%29=-7%28K-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28K-2%29%2B7%28K-1%29=0 ALIGN=MIDDLE  ALT=\"2%28K-2%29%2B7%28K-1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2K-4%2B7K-7=0 ALIGN=MIDDLE  ALT=\"2K-4%2B7K-7=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9K-11=0 ALIGN=MIDDLE  ALT=\"9K-11=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9K=11 ALIGN=MIDDLE  ALT=\"9K=11\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=K=11%2F9 ALIGN=MIDDLE  ALT=\"K=11%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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