document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=114529>Question 114529</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the slope of the line that is perpendicular to 3x+2y=4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #83311 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=83311\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the slope of the line that is perpendicular to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B2y=4 ALIGN=MIDDLE  ALT=\"3x%2B2y=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Perpendicular lines and their slopes: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B1%5D+=+-1%2Fm%5B2%5D ALIGN=MIDDLE  ALT=\"m%5B1%5D+=+-1%2Fm%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "In other words, perpendicular 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=+reciprocals+ ALIGN=MIDDLE  ALT=\"+reciprocals+\"   DISABLED_style= \"max-width:90%; height:auto;\" >of each other.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B2y=4 ALIGN=MIDDLE  ALT=\"3x%2B2y=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >….first we need to write this equation in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=slope_intercept ALIGN=MIDDLE  ALT=\"slope_intercept\"   DISABLED_style= \"max-width:90%; height:auto;\" > form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+mx+%2B+b ALIGN=MIDDLE  ALT=\"y+=+mx+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" > like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y=+-3x+%2B+4 ALIGN=MIDDLE  ALT=\"2y=+-3x+%2B+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >…….divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   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=2y%2F2+=+-3x%2F2+%2B+4%2F2 ALIGN=MIDDLE  ALT=\"2y%2F2+=+-3x%2F2+%2B+4%2F2\"   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+=+-%283%2F2%29x+%2B+2 ALIGN=MIDDLE  ALT=\"y+=+-%283%2F2%29x+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >……….this is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=slope_intercept ALIGN=MIDDLE  ALT=\"slope_intercept\"   DISABLED_style= \"max-width:90%; height:auto;\" > form, and we see that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B1%5D+=-3%2F2 ALIGN=MIDDLE  ALT=\"m%5B1%5D+=-3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=2 ALIGN=MIDDLE  ALT=\"b=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B1%5D+=+-3%2F2 ALIGN=MIDDLE  ALT=\"m%5B1%5D+=+-3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B2%5D ALIGN=MIDDLE  ALT=\"m%5B2%5D\"   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=m%5B1%5D+=+-1%2Fm%5B2%5D ALIGN=MIDDLE  ALT=\"m%5B1%5D+=+-1%2Fm%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >............substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B1%5D ALIGN=MIDDLE  ALT=\"m%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <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;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F2+=+-1%2Fm%5B2%5D ALIGN=MIDDLE  ALT=\"-3%2F2+=+-1%2Fm%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >………….multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m%5B2%5D+ ALIGN=MIDDLE  ALT=\"+m%5B2%5D+\"   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=-%283%2F2%29+m%5B2%5D++=+-%281%2Fm%5B2%5D%29+m%5B2%5D+ ALIGN=MIDDLE  ALT=\"-%283%2F2%29+m%5B2%5D++=+-%281%2Fm%5B2%5D%29+m%5B2%5D+\"   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=-%283%2F2%29+m%5B2%5D++=+-1+ ALIGN=MIDDLE  ALT=\"-%283%2F2%29+m%5B2%5D++=+-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >………….divide bothe sides by <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;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%283%2F2%29+m%5B2%5D%2F+%28-3%2F2%29+++=+%28-1%29%2F%28-3%2F2%29++ ALIGN=MIDDLE  ALT=\"-%283%2F2%29+m%5B2%5D%2F+%28-3%2F2%29+++=+%28-1%29%2F%28-3%2F2%29++\"   DISABLED_style= \"max-width:90%; height:auto;\" >………….<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B2%5D+=+%28-1%29%2F%28-3%2F2%29++ ALIGN=MIDDLE  ALT=\"m%5B2%5D+=+%28-1%29%2F%28-3%2F2%29++\"   DISABLED_style= \"max-width:90%; height:auto;\" >………….....we can write <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F1 ALIGN=MIDDLE  ALT=\"-1%2F1\"   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=m%5B2%5D+=+%28-1%2F1%29%2F%28-3%2F2%29++ ALIGN=MIDDLE  ALT=\"m%5B2%5D+=+%28-1%2F1%29%2F%28-3%2F2%29++\"   DISABLED_style= \"max-width:90%; height:auto;\" >………….simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B2%5D+=+%28-2%29%2F-3 ALIGN=MIDDLE  ALT=\"m%5B2%5D+=+%28-2%29%2F-3\"   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=m%5B2%5D+=+2%2F3 ALIGN=MIDDLE  ALT=\"m%5B2%5D+=+2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >…………....your solution\r<BR>\n" );
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