document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=844453>Question 844453</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi! I need some help here :). I need to find the equations of lines (i) parallel and (ii) perpendicular to the following and passing through the given point.<BR>\n" );
document.write( "Here is the the equation and given point.<BR>\n" );
document.write( "\"3x - 2y + 4 = 0\" and \"(3,4)\"<BR>\n" );
document.write( "Thanks a bunch! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #508778 by </B><A HREF=/tutors/aboutme.mpl?userid=fcabanski><B>fcabanski(1391)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fcabanski><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=508778\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Manipulate the equation into the slope intercept form.  y = mx + b where m is the slope.<P><BR>\n" );
document.write( "3x-2y + 4=0<P><BR>\n" );
document.write( "-2y=-3x + -4<BR>\n" );
document.write( "y = (3/2)x + +2.  The slope is 3/2. <P><BR>\n" );
document.write( "Parallel Lines have the same slope.  Perpendicular lines have slopes that are negative reciprocals.   y-y1 = m(x-x1) is the equation of a line passing through the point (x1,y1)<P><BR>\n" );
document.write( "Parallel: slope is 3/2: y-4 = 3/2 (x-3)<P><BR>\n" );
document.write( "y-4 = (3/2)x - 9/2<P><BR>\n" );
document.write( "y = (3/2)x -1/2<P><BR>\n" );
document.write( "Perpendicular: slope is -2/3<P><BR>\n" );
document.write( "y-4 = -2/3 (x-3)<P><BR>\n" );
document.write( "y-4 = (-2/3)x +2<P><BR>\n" );
document.write( "y= (-2/3)x +6 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );