document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=117230>Question 117230</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the equation of the line perpendicular to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-2%2F3x+-+4+ ALIGN=MIDDLE  ALT=\"+y+=+-2%2F3x+-+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and passes through (-2,5) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #86180 by </B><A HREF=/tutors/aboutme.mpl?userid=misscrt><B>misscrt(37)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=misscrt><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=86180\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the equation of the line perpendicular to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-2%2F3x+-+4+ ALIGN=MIDDLE  ALT=\"+y+=+-2%2F3x+-+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and passes through (-2,5)<BR>\n" );
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document.write( "If the line is perpendicular,its slope will be the negative reciprocal of the original line's slope, m.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%2F3-4 ALIGN=MIDDLE  ALT=\"y=-2x%2F3-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "is in the form of equation of line----y=mx+b<BR>\n" );
document.write( "So, the original line has a slop of -2/3\r<BR>\n" );
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document.write( "The negative reciprocal of -2/3 is 3/2.\r<BR>\n" );
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document.write( "So, the new line has slope,m=3/2\r<BR>\n" );
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document.write( "Since you are given the point which the new line goes through use the point-slope form to find its equation:\r<BR>\n" );
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document.write( "(x1,y1)=(-2,5)\r<BR>\n" );
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document.write( "(y-y1)=m(x-x1)\r<BR>\n" );
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document.write( "(y-5) = 3/2(x-(-2))\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-5=3%2F2%28x%2B2%29 ALIGN=MIDDLE  ALT=\"y-5=3%2F2%28x%2B2%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=y-5=3x%2F2+%2B3 ALIGN=MIDDLE  ALT=\"y-5=3x%2F2+%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Put equation into the standard form,y=mx+b.\r<BR>\n" );
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document.write( "y=3x/2+3 +5\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3x%2F2+%2B+8 ALIGN=MIDDLE  ALT=\"y=3x%2F2+%2B+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hope that helps.\r<BR>\n" );
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document.write( "Regards,<BR>\n" );
document.write( "misscrt\r<BR>\n" );
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document.write( " </SPAN>\n" );
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