document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=902096>Question 902096</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the equation of line that is perpendicular to 96x-24y-72=0 and passing through the midpoint between (-22,6) and (14,-16)?\r<BR>\n" );
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document.write( "Kindly  help !! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #547077 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=547077\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simplify your given equation!\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=96x%2F6-24y%2F6-72%2F6=0 ALIGN=MIDDLE  ALT=\"96x%2F6-24y%2F6-72%2F6=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16x-4y-12=0 ALIGN=MIDDLE  ALT=\"16x-4y-12=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%284x-y-3=0%29 ALIGN=MIDDLE  ALT=\"highlight_green%284x-y-3=0%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=4x-y-3=0 ALIGN=MIDDLE  ALT=\"4x-y-3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be solved for y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y=4x-3%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y=4x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Which is slope-intercept form for your given, now simplified, equation.\r<BR>\n" );
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document.write( "The line perpendicular to the given line will have slope <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%281%2F4%29 ALIGN=MIDDLE  ALT=\"-%281%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is the negative<BR>\n" );
document.write( "reciprocal of 4.  That is how perpendicular lines in a plane work.  The line you are looking<BR>\n" );
document.write( "for is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-x%2F4%2Bb ALIGN=MIDDLE  ALT=\"y=-x%2F4%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and you do not yet know what is b.\r<BR>\n" );
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document.write( "Next, you want to know the midpoint of the two given points, because you are told that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-x%2F4%2Bb ALIGN=MIDDLE  ALT=\"y=-x%2F4%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > must include this point.<BR>\n" );
document.write( "MIDPOINT:   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-22%2B14%29%2F2=-4 ALIGN=MIDDLE  ALT=\"x=%28-22%2B14%29%2F2=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >;  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%286%2B%28-16%29%29%2F2=-5 ALIGN=MIDDLE  ALT=\"y=%286%2B%28-16%29%29%2F2=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This midpoint is (-4,-5).\r<BR>\n" );
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document.write( "You can solve the equation you want for b and use this found point (-4,-5) to get the value<BR>\n" );
document.write( "of b.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=y-mx ALIGN=MIDDLE  ALT=\"b=y-mx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=y-%28-1%2F4%29x ALIGN=MIDDLE  ALT=\"b=y-%28-1%2F4%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-5-%28-1%2F4%29%28-4%29 ALIGN=MIDDLE  ALT=\"b=-5-%28-1%2F4%29%28-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-5-1 ALIGN=MIDDLE  ALT=\"b=-5-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28b=-6%29 ALIGN=MIDDLE  ALT=\"highlight_green%28b=-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Finish writing the equation asked for.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-x%2F4-6%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-x%2F4-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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