document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=13480>Question 13480</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the slope of a line that is perpendicular to the line defined by,\r<BR>\n" );
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document.write( "3x + 4y - 6 = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #6813 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=6813\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Remember that perpendicular lines have slopes that are the negative reciprocal of each other. So you'll first find the slope of the given line, then find the negative reciprocal of that slope to give you the answer to the problem.<BR>\n" );
document.write( "To find the slope of the given line whose equation is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+%2B+4y+-+6+=+0 ALIGN=MIDDLE  ALT=\"3x+%2B+4y+-+6+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > you can convert this to the slope-intercept 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;\" > where m is the slope.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+%2B+4y+-+6+=+0 ALIGN=MIDDLE  ALT=\"3x+%2B+4y+-+6+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 3x from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y+-+6+=+-3x ALIGN=MIDDLE  ALT=\"4y+-+6+=+-3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now add 6 to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y+=+-3x+%2B+6 ALIGN=MIDDLE  ALT=\"4y+=+-3x+%2B+6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Finally, divide both sides by 4.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-3%2F4%29x+%2B+3%2F2 ALIGN=MIDDLE  ALT=\"y+=+%28-3%2F4%29x+%2B+3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Compare this with:<BR>\n" );
document.write( "<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;\" > You'll see that m, the slope, is -3/4\r<BR>\n" );
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document.write( "Now you need the negative reciprocal of -3/4 and this is: 4/3\r<BR>\n" );
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document.write( "The slope of the perpendicular is m = 4/3 </SPAN>\n" );
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