document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1170509>Question 1170509</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Lines l and l′ with equations\r<BR>\n" );
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document.write( "y=(11k+17)x+1<BR>\n" );
document.write( "x=(61k−23)y−2\r<BR>\n" );
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document.write( "are perpendicular, where k is a constant. Find k.\r<BR>\n" );
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document.write( "k = <BR>\n" );
document.write( "(Do NOT USE DECIMALS if k is a fraction or an irrational number) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #795433 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=795433\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "Lines <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l ALIGN=MIDDLE  ALT=\"l\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l ALIGN=MIDDLE  ALT=\"l\"   DISABLED_style= \"max-width:90%; height:auto;\" >′ with equations\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%2811k%2B17%29x%2B1 ALIGN=MIDDLE  ALT=\"y=%2811k%2B17%29x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >....slope: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2811k%2B17%29 ALIGN=MIDDLE  ALT=\"%2811k%2B17%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%2861k-23%29y-2 ALIGN=MIDDLE  ALT=\"x=%2861k-23%29y-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........solve 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;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%2F%2861k-23%29%2B2 ALIGN=MIDDLE  ALT=\"y=x%2F%2861k-23%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F%2861k-23%29%29x%2B2 ALIGN=MIDDLE  ALT=\"y=%281%2F%2861k-23%29%29x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >....slope: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%2861k-23%29 ALIGN=MIDDLE  ALT=\"1%2F%2861k-23%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since lines are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=perpendicular ALIGN=MIDDLE  ALT=\"perpendicular\"   DISABLED_style= \"max-width:90%; height:auto;\" >, slopes are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=negative ALIGN=MIDDLE  ALT=\"negative\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+reciprocal ALIGN=MIDDLE  ALT=\"+reciprocal\"   DISABLED_style= \"max-width:90%; height:auto;\" > to each other\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2811k%2B17%29+=-1%2F%281%2F%2861k-23%29%29 ALIGN=MIDDLE  ALT=\"%2811k%2B17%29+=-1%2F%281%2F%2861k-23%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....solve for<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+k ALIGN=MIDDLE  ALT=\"+k\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2811k%2B17%29+=-%2861k-23%29 ALIGN=MIDDLE  ALT=\"%2811k%2B17%29+=-%2861k-23%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11k%2B17+=-61k%2B23 ALIGN=MIDDLE  ALT=\"11k%2B17+=-61k%2B23\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11k%2B61k+=-17%2B23 ALIGN=MIDDLE  ALT=\"11k%2B61k+=-17%2B23\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72k+=6 ALIGN=MIDDLE  ALT=\"72k+=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=6%2F72 ALIGN=MIDDLE  ALT=\"k+=6%2F72\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=1%2F12 ALIGN=MIDDLE  ALT=\"k+=1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "your lines are:\r<BR>\n" );
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document.write( "line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l ALIGN=MIDDLE  ALT=\"l\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%2811k%2B17%29x%2B1 ALIGN=MIDDLE  ALT=\"y=%2811k%2B17%29x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%2811%281%2F12%29%2B17%29x%2B1 ALIGN=MIDDLE  ALT=\"y=%2811%281%2F12%29%2B17%29x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28215%2F12%29x%2B1 ALIGN=MIDDLE  ALT=\"y=%28215%2F12%29x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l ALIGN=MIDDLE  ALT=\"l\"   DISABLED_style= \"max-width:90%; height:auto;\" >’\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F%2861k-23%29%29x%2B2 ALIGN=MIDDLE  ALT=\"y=%281%2F%2861k-23%29%29x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F%2861%281%2F12%29-23%29%29x%2B2 ALIGN=MIDDLE  ALT=\"y=%281%2F%2861%281%2F12%29-23%29%29x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%2812%2F215%29x%2B2 ALIGN=MIDDLE  ALT=\"y=-%2812%2F215%29x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-5%2C+5%2C+-5%2C+5%2C+-%2812%2F215%29x%2B2%2C+%28215%2F12%29x%2B1%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );