document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82754>Question 82754</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of a line that is perpendicular to 3x+2y=12 and passes through the point (0,2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59449 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley75><B>checkley75(3666)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley75><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=59449\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3x+2y=12<BR>\n" );
document.write( "2y=-3x+12<BR>\n" );
document.write( "y=-3x/2-12/2<BR>\n" );
document.write( "y=-3x/2-6 this line has a slope of -3/2 therefore the perpendicular line has a slope of the negative reciprical or 2/3.<BR>\n" );
document.write( "the the equation for this perpendicular line passing through (0,2) is:<BR>\n" );
document.write( "2=2/3*0+b<BR>\n" );
document.write( "2=b the y intercept.<BR>\n" );
document.write( "thus the line formula is:<BR>\n" );
document.write( "y=2x/3+2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );