document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=675307>Question 675307</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the locus of the points which are equidistant from the two parallel lines 3x - 2y + 4 = 0 and 3x - 2y - 8 = 0. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #419706 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=419706\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the locus of the points which are equidistant from the two parallel lines<BR>\n" );
document.write( "This is an equation of a straight line parallel and equidistant from given parallel lines <BR>\n" );
document.write( "3x - 2y + 4 = 0 and 3x - 2y - 8 = 0\r<BR>\n" );
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document.write( "**<BR>\n" );
document.write( "3x - 2y + 4 = 0<BR>\n" );
document.write( "2y=3x+4<BR>\n" );
document.write( "y=3x/2+2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "3x - 2y - 8 = 0<BR>\n" );
document.write( "2y=3x-8<BR>\n" );
document.write( "y=3x/2-4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "since equation is parallel to given lines, its slope is the same as that of given lines=3/2<BR>\n" );
document.write( "equation: y=3x/2+b<BR>\n" );
document.write( "y-intercept, b=mid point of y- intercepts of two given parallel lines=(2+(-4))/2=-2/2=-1<BR>\n" );
document.write( "equation of the locus of the points which are equidistant from the two parallel lines: y=3x/2-1 </SPAN>\n" );
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