document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=217356>Question 217356</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Using the point-slope formula to write an equation of the line given the following information: The line passes through the point (-4,3) and is perpendicular to 3x - 2y = 9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #163934 by </B><A HREF=/tutors/aboutme.mpl?userid=elima4><B>elima4(15)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=elima4><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=163934\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Start by first putting this equation in slope-intercept form;<BR>\n" );
document.write( "3x - 2y = 9<BR>\n" );
document.write( "-2y=-3x+9<BR>\n" );
document.write( "y = 3/2x + 9<BR>\n" );
document.write( "Perpendicular lines have negative reciprocal slopes;<BR>\n" );
document.write( "So the slope for the new equation is going to be -2/3, so lets start with;<BR>\n" );
document.write( "y = -2/3x + b<BR>\n" );
document.write( "Now lets us the point given for our x and y;<BR>\n" );
document.write( "3 = -2/3(-4) + b\r<BR>\n" );
document.write( "\n" );
document.write( "3 = 8/3 + b<BR>\n" );
document.write( "3 - 8/3 = b<BR>\n" );
document.write( "9/3 - 8/3 = b<BR>\n" );
document.write( "1/3 = b<BR>\n" );
document.write( "So the equation will be;<BR>\n" );
document.write( "y= -2/3x + 1/3<BR>\n" );
document.write( ":)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );