document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102866>Question 102866</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131467735/algebrahomeworkh>Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find B so that -6x +By = 3 is perpendicular to 2x-3y=8.\r<BR>\n" );
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document.write( "I took simplified y=-2/3x - 8/3   and y=6x + 3/B.  <BR>\n" );
document.write( "any number for B must be positive in order for the lines to be perpendicular.\r<BR>\n" );
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document.write( "is this correct? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74811 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=74811\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Er...not quite, athough you are on the right track!<BR>\n" );
document.write( "Start with the fact that perpendicular lines have slopes that are the negative reciprocal of each other.<BR>\n" );
document.write( "You have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-3y+=+8 ALIGN=MIDDLE  ALT=\"2x-3y+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 3y to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+=+3y%2B8 ALIGN=MIDDLE  ALT=\"2x+=+3y%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 8 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-8+=+3y ALIGN=MIDDLE  ALT=\"2x-8+=+3y\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 3.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29x-8%2F3+=+y ALIGN=MIDDLE  ALT=\"%282%2F3%29x-8%2F3+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" > or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%282%2F3%29x-8%2F3 ALIGN=MIDDLE  ALT=\"y+=+%282%2F3%29x-8%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > The slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > so the negative reciprocal is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F2 ALIGN=MIDDLE  ALT=\"-3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The other equation is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6x%2BBy+=+3 ALIGN=MIDDLE  ALT=\"-6x%2BBy+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 6x to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=By+=+6x%2B3 ALIGN=MIDDLE  ALT=\"By+=+6x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now divide both sides by B.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%286%2FB%29x%2B3%2FB ALIGN=MIDDLE  ALT=\"y+=+%286%2FB%29x%2B3%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > The slope here is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2FB ALIGN=MIDDLE  ALT=\"6%2FB\"   DISABLED_style= \"max-width:90%; height:auto;\" > and this is to equal <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F2 ALIGN=MIDDLE  ALT=\"-3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2FB+=+-3%2F2 ALIGN=MIDDLE  ALT=\"6%2FB+=+-3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by B.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6+=+-%283%2F2%29B ALIGN=MIDDLE  ALT=\"6+=+-%283%2F2%29B\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2F3 ALIGN=MIDDLE  ALT=\"-2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2%2F3%29%2A6+=+B ALIGN=MIDDLE  ALT=\"%28-2%2F3%29%2A6+=+B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+-4 ALIGN=MIDDLE  ALT=\"B+=+-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let;s graph the two resulting lines:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-5%2C5%2C-5%2C5%2C%282%2F3%29x-8%2F3%2C%28-3%2F2%29x-3%2F4%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-5%2C5%2C-5%2C5%2C%282%2F3%29x-8%2F3%2C%28-3%2F2%29x-3%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );