document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=824807>Question 824807</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The point (-1,-5) is equidistant from the lines 3x-4y-2=0 and 3x-4y+k=0, where k can not equal -2. Find the value of k. Please help.. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #496821 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=496821\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3x-4y-2=0 same as -4y=-3x+2, y=(3/4)x-1/2.<BR>\n" );
document.write( "General point is (x,(3/4)x-1/2).\r<BR>\n" );
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document.write( "3x-4y+k=0 same as -4y=-3x-k, y=(3/4)x+k/4.<BR>\n" );
document.write( "General point is (x, (3/4)x+k/4).\r<BR>\n" );
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document.write( "You want each of these line to be the same distance from point (-1,-5).  Using Distance Formula, these distances each are:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x%2B1%29%5E2%2B%28%283%2F4%29x-1%2F2%2B5%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28x%2B1%29%5E2%2B%28%283%2F4%29x-1%2F2%2B5%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >   and    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x%2B1%29%5E2%2B%28%283%2F4%29x%2Bk%2F4%2B5%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28x%2B1%29%5E2%2B%28%283%2F4%29x%2Bk%2F4%2B5%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x%2B1%29%5E2%2B%28%283%2F4%29x%2B11%2F2%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28x%2B1%29%5E2%2B%28%283%2F4%29x%2B11%2F2%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >     and     <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x%2B1%29%5E2%2B%28%283%2F4%29x%2B%28k%2B20%29%2F4%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28x%2B1%29%5E2%2B%28%283%2F4%29x%2B%28k%2B20%29%2F4%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x%2B1%29%5E2%2B%28%283x%2B22%29%2F4%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28x%2B1%29%5E2%2B%28%283x%2B22%29%2F4%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >     and     <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x%2B1%29%5E2%2B%28%283x%2Bk%2B20%29%2F4%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28x%2B1%29%5E2%2B%28%283x%2Bk%2B20%29%2F4%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We must look very carefully at each expression and understand that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B22%29%2F4 ALIGN=MIDDLE  ALT=\"%283x%2B22%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > must be equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2Bk%2B20%29%2F4 ALIGN=MIDDLE  ALT=\"%283x%2Bk%2B20%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  They MUST correspond as equivalent!\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B22%29=%283x%2Bk%2B20%29 ALIGN=MIDDLE  ALT=\"%283x%2B22%29=%283x%2Bk%2B20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%28k=2%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%28k=2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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