document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1188642>Question 1188642</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A line passes through A(2,-2) and B(-4,3). Find the coordinates of the point on the line twice as far from A as from B (show two cases). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #819781 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=819781\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A line passes through A(2,-2) and B(-4,3). Find the coordinates of the point on the line twice as far from A as from B (show two cases).<BR>\n" );
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document.write( "(x,y) is a point twice as far from A as from B<BR>\n" );
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document.write( "Distance from A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x-2%29%5E2+%2B+%28y%2B2%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28x-2%29%5E2+%2B+%28y%2B2%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Distance from B = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x%2B4%29%5E2+%2B+%28y-3%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28x%2B4%29%5E2+%2B+%28y-3%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x-2%29%5E2+%2B+%28y%2B2%29%5E2%29+=+2%2Asqrt%28%28x%2B4%29%5E2+%2B+%28y-3%29%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2+%2B+%28y%2B2%29%5E2+=+4%2A%28%28x%2B4%29%5E2+%2B+%28y-3%29%5E2%29 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2+%2B+%28y%2B2%29%5E2+=+4%2A%28%28x%2B4%29%5E2+%2B+%28y-3%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+2x+%2B+4+%2B+y%5E2+%2B+2y+%2B+4+=+4x%5E2+%2B+32x+%2B+64+%2B+y%5E2+-+6y+%2B+9 ALIGN=MIDDLE  ALT=\"x%5E2+-+2x+%2B+4+%2B+y%5E2+%2B+2y+%2B+4+=+4x%5E2+%2B+32x+%2B+64+%2B+y%5E2+-+6y+%2B+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x%5E2+-+34x+-+60+%2B+8y+-+5+=+0 ALIGN=MIDDLE  ALT=\"-3x%5E2+-+34x+-+60+%2B+8y+-+5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2+%2B+34x+%2B+65+=+8y ALIGN=MIDDLE  ALT=\"3x%5E2+%2B+34x+%2B+65+=+8y\"   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%2F8%29x%5E2+%2B+%2817%2F4%29x+%2B+65%2F8 ALIGN=MIDDLE  ALT=\"y+=+%283%2F8%29x%5E2+%2B+%2817%2F4%29x+%2B+65%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "At x = 0, y = 65/8 ---> (0,65/8)<BR>\n" );
document.write( "At x = -2, y = 9/8 --> (-2,1.125)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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