document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=158802>Question 158802</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hi,can anyone help me on this one:<BR>\n" );
document.write( "           (-4,2) perpendicular to 2x+3y=-6 <BR>\n" );
document.write( "i know i have to change 2x+3y=-6 to slope:y=mx+b<BR>\n" );
document.write( "yeah. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #116958 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=116958\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x+3y=-6<BR>\n" );
document.write( "First we need to put this equation in the line equation form Y=mX+b where m=slope & b=the y intercept.<BR>\n" );
document.write( "3y=-2x-6<BR>\n" );
document.write( "y=-2x/3-6/3<BR>\n" );
document.write( "y=-2x/3-2 here we have a slope(m)=-2/3.<BR>\n" );
document.write( "Any line perpendicular to this line has a slope=3/2 (the negative reciprical of the original slope).<BR>\n" );
document.write( "Now replace the x&y terms with the values(-4,2) & the new slope & solve for b.<BR>\n" );
document.write( "2=3/2*-4+b<BR>\n" );
document.write( "2=-12/2+b<BR>\n" );
document.write( "2=-6+b<BR>\n" );
document.write( "b=2=6<BR>\n" );
document.write( "b=8 for the y intercept (0,8).<BR>\n" );
document.write( "y=3x/2+8 (green line) is this perpendicular line to y=-2x/3-2 (red line) & passes through (-4,2).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+-2x%2F3+-2%2C+3x%2F2+%2B8%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+-2x%2F3+-2%2C+3x%2F2+%2B8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (graph 300x300 pixels, x from -10 to 10, y from -10 to 10, of TWO functions -2x/3 -2 and 3x/2 +8). <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );