document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1011590>Question 1011590</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the locus of a point p (x,y) when:\r<BR>\n" );
document.write( "\n" );
document.write( "1. the distance of P from the line y=-5 is three quarters of its distance from the line x = 2\r<BR>\n" );
document.write( "\n" );
document.write( "2. The distacne of P from the line  x= -3 is two fifths of its distance from the line y= -1\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #627302 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=627302\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The two questions are very much alike.  Question number 1 gives the horizontal line y=-5 and the vertical line x=2; these are the more general points  (x,-5) and (2,y).  Fit the description into the Distance Formula:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x-x%29%5E2%2B%28y-%28-5%29%29%5E2%29=%283%2F4%29sqrt%28%28x-2%29%5E2%2B%28y-y%29%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28y%2B5%29%5E2%29=%283%2F4%29sqrt%28%28x-2%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28y%2B5%29%5E2%29=%283%2F4%29sqrt%28%28x-2%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B5=0%2B-+%283%2F4%29%28x-2%29 ALIGN=MIDDLE  ALT=\"y%2B5=0%2B-+%283%2F4%29%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Simplify into the two equations in whatever form you want.<BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B5=-%283%2F4%29%28x-2%29 ALIGN=MIDDLE  ALT=\"y%2B5=-%283%2F4%29%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%283%2F4%29x%2B3%2F2-5 ALIGN=MIDDLE  ALT=\"y=-%283%2F4%29x%2B3%2F2-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-%283%2F4%29x-7%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-%283%2F4%29x-7%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >------one of the lines<BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B5=%283%2F4%29%28x-2%29 ALIGN=MIDDLE  ALT=\"y%2B5=%283%2F4%29%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B5=%283%2F4%29x-3%2F2 ALIGN=MIDDLE  ALT=\"y%2B5=%283%2F4%29x-3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%283%2F4%29x-3%2F2-10%2F2 ALIGN=MIDDLE  ALT=\"y=%283%2F4%29x-3%2F2-10%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=%283%2F4%29x-13%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28y=%283%2F4%29x-13%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----------other line </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );