document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1120869>Question 1120869</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the equation of line passing through A(-2,3) and perpendicular to the line 2x-3y+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 #736578 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=736578\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Here is a useful shortcut for solving this kind of problem:<br><BR>\n" );
document.write( "(1) every line parallel to the line with equation Ax+By=C (or Ax+By+C=0) will have an equation of the form Ax+By=D (or Ax+By+D=0), where D is some constant.<BR>\n" );
document.write( "(2) every line perpendicular to the line with equation Ax+By=C (or Ax+By+C=0) will have an equation of the form Bx-Ay=D (or Bx-Ay+D=0), where D is some constant.<br><BR>\n" );
document.write( "In this example, the equation of the given line is 2x-3y+6 = 0.  The equation of any line perpendicular to the given line will have an equation of the form 3x+2y=D.<br><BR>\n" );
document.write( "To find the value of D, simply plug in the coordinates of the given point:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28-2%29%2B2%283%29=D ALIGN=MIDDLE  ALT=\"3%28-2%29%2B2%283%29=D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=0 ALIGN=MIDDLE  ALT=\"D=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "An equation of the line we are looking for is 3x+2y=0. </SPAN>\n" );
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