document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=947097>Question 947097</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please i want you to help me find the equation of the locus of points equidistant from the point(0,2) and the straight line y=4. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #577775 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=577775\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if you draw a circle around the point (0,2) with a radius of 2, you will find that you have 2 points that are the same distance from the point (0,2) and also the same distance from the line y = 4.\r<BR>\n" );
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document.write( "those points are (-2,2) and (2,2)\r<BR>\n" );
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document.write( "they are 2 units away from the point (0,2).\r<BR>\n" );
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document.write( "they are 2 units away from the line y = 4.\r<BR>\n" );
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document.write( "their distance from the line y = 4 is measured by drawing a line perpendicular to the line y = 4 from each of those points.\r<BR>\n" );
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document.write( "those vertical lines will intersect the line y = 4 at the points (-2,4) and (2,4).\r<BR>\n" );
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document.write( "(-2,2) is 2 units away from (-2,4).\r<BR>\n" );
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document.write( "(2,2) is 2 units away from (2,4).\r<BR>\n" );
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document.write( "the points (-2,2) and (2,2) are therefore both the same distance from the point (0,2) and the line y = 4.\r<BR>\n" );
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document.write( "a picture of what this looks like is shown below:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2015/021201.jpg\" alt = \"$$$\" </>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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