document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=66562>Question 66562</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1565770390/algebrahomeworkh>Advanced mathematics</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> find the equation of the line that is equidistant from the points (1,4) and (-3,2).  Write your equation in general form. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47227 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=47227\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> FInd the equation of the line that is equidistant from the points A=(1,4) and B=(-3,2). Write your equation in general form.<BR>\n" );
document.write( "LET ANY POINT 'P' ON THE LINE BE (X,Y)<BR>\n" );
document.write( "PA=PB......GIVEN<BR>\n" );
document.write( "PA^2=PB^2<BR>\n" );
document.write( "(X-1)^2+(Y-4)^2=(X+3)^2+(Y-2)^2<BR>\n" );
document.write( "X^2-2X+1+Y^2-8Y+16=X^2+6X+9+Y^2-4Y+4<BR>\n" );
document.write( "6X+9-4Y+4+2X-1+8Y-16=0<BR>\n" );
document.write( "8X+4Y-4=0<BR>\n" );
document.write( "2X+Y-1=0<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );