document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1029905>Question 1029905</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all points (x,y) that are 13 units away from the point (2,7) and that lie on the line x - 2y = 10.\r<BR>\n" );
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document.write( "Give your answer as a list of points separated by semicolons, with the points ordered such that their x-coordinates are in increasing order. (So \"(1,-3); (2,3); (5,-7)\" - without the quotes - is a valid answer format.)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #644866 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=644866\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From the distance formula, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2+%2B+%28y-7%29%5E2+=+13%5E2 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2+%2B+%28y-7%29%5E2+=+13%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282y+%2B+8%29%5E2+%2B+%28y-7%29%5E2+=+169 ALIGN=MIDDLE  ALT=\"%282y+%2B+8%29%5E2+%2B+%28y-7%29%5E2+=+169\"   DISABLED_style= \"max-width:90%; height:auto;\" >, after substituting x = 2y + 10 into the equation above.\r<BR>\n" );
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document.write( "<==>  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y%5E2+%2B+18y+%2B113+=+169 ALIGN=MIDDLE  ALT=\"5y%5E2+%2B+18y+%2B113+=+169\"   DISABLED_style= \"max-width:90%; height:auto;\" > after simplifying.\r<BR>\n" );
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document.write( "==>  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y%5E2+%2B+18y+-56+=0 ALIGN=MIDDLE  ALT=\"5y%5E2+%2B+18y+-56+=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> (5y+28)(y-2) = 0 ==> y = -28/5, 2\r<BR>\n" );
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document.write( "==> x = -6/5, 14.\r<BR>\n" );
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document.write( "Therefore the points are (-6/5, -28/5); (14,2).<BR>\n" );
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