document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=651935>Question 651935</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the slope intercept equation for the line that passes through (-2,3) and is perpendicular to 2x-9y=-12 Please show your work </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #407859 by </B><A HREF=/tutors/aboutme.mpl?userid=VirtualMathTutor><B>VirtualMathTutor(26)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=VirtualMathTutor><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=VirtualMathTutor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=407859\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two lines are perpendicular when the slopes are the negative reciprocal of each other.\r<BR>\n" );
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document.write( "The line given is: 2x - 9y = -12\r<BR>\n" );
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document.write( "First, find the slope by solving for y:\r<BR>\n" );
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document.write( "2x - 9y = -12\r<BR>\n" );
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document.write( "Subtract 2x from both sides:\r<BR>\n" );
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document.write( "2x - 9y - 2x = -12 - 2x\r<BR>\n" );
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document.write( "-9y = -12 - 2x\r<BR>\n" );
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document.write( "Divide both sides by -9\r<BR>\n" );
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document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F9 ALIGN=MIDDLE  ALT=\"12%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2F9 ALIGN=MIDDLE  ALT=\"2x%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simplify\r<BR>\n" );
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document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2F9 ALIGN=MIDDLE  ALT=\"2x%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now compare to y = mx + b\r<BR>\n" );
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document.write( "so the slope m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F9 ALIGN=MIDDLE  ALT=\"2%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Slope of the line perpendicular to the given line will then be the negative reciprocal of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F9 ALIGN=MIDDLE  ALT=\"2%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-9%2F2 ALIGN=MIDDLE  ALT=\"-9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now find the equation of the line passing through (-2, 3)\r<BR>\n" );
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document.write( "Use the formula y - y1 = m(x - x1)\r<BR>\n" );
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document.write( "y - 3 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-9%2F2 ALIGN=MIDDLE  ALT=\"-9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >(x -(-2))\r<BR>\n" );
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document.write( "y - 3 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-9%2F2 ALIGN=MIDDLE  ALT=\"-9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >x - 9<BR>\n" );
document.write( "Add 3 to both sides:\r<BR>\n" );
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document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-9%2F2 ALIGN=MIDDLE  ALT=\"-9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >x - 6 </SPAN>\n" );
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