document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=13249>Question 13249</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all points having an x -coordinate of 2 whose distance from the point    (-2,-1) is 5?  I think it uses distance formula or a midpoint formula. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #6705 by </B><A HREF=/tutors/aboutme.mpl?userid=akmb1215><B>akmb1215(68)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=akmb1215><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=6705\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You're right - you use the distance formula for this.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D+=+sqrt%28%28x2+-+x1%29%5E2+%2B+%28y2+-+y1%29%5E2%29 ALIGN=MIDDLE  ALT=\"D+=+sqrt%28%28x2+-+x1%29%5E2+%2B+%28y2+-+y1%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  You know one point, the x-coordinate of the other point, and the distance between the two points.  When you plug this information into the equation, you get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5+=+sqrt%28%282+-+2%29%5E2+%2B+%28y2+-+-1%29%5E2%29 ALIGN=MIDDLE  ALT=\"5+=+sqrt%28%282+-+2%29%5E2+%2B+%28y2+-+-1%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  To get rid of the square root, sqare both sides to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25+=+%282-2%29%5E2+%2B+%28y2+-+-1%29%5E2 ALIGN=MIDDLE  ALT=\"25+=+%282-2%29%5E2+%2B+%28y2+-+-1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Work out the subtraction in the parentheses and then square the answers to get:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25+=+y2%5E2+%2B+2y2+%2B+1 ALIGN=MIDDLE  ALT=\"25+=+y2%5E2+%2B+2y2+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Move the 25 over to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y2%5E2+%2B+2y2+-+24+=+0 ALIGN=MIDDLE  ALT=\"y2%5E2+%2B+2y2+-+24+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Factor this out to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y2+%2B+6%29+%28y2+-+4%29+=+0 ALIGN=MIDDLE  ALT=\"%28y2+%2B+6%29+%28y2+-+4%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Your two points are (2,-6) and (2,4). </SPAN>\n" );
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