document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=918030>Question 918030</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the lines with equations ax+2y=c and bx-3y=d are perpendicular. how to find a.b </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #556869 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39627)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=556869\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The equations are in standard form, and you can read the expressions for slopes for each equation.\r<BR>\n" );
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document.write( "Those slopes:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-a%2F2 ALIGN=MIDDLE  ALT=\"-a%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >   and   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2F3 ALIGN=MIDDLE  ALT=\"b%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The lines being PERPENDICULAR require the slopes to produce a product of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   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=%28-a%2F2%29%28b%2F3%29=-1 ALIGN=MIDDLE  ALT=\"%28-a%2F2%29%28b%2F3%29=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-a%29%28b%29=-6 ALIGN=MIDDLE  ALT=\"%28-a%29%28b%29=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28ab=6%29 ALIGN=MIDDLE  ALT=\"highlight_green%28ab=6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "a and b cannot finally be determined until you have more information.  YOU have two equations and eight variables. </SPAN>\n" );
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