document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=867626>Question 867626</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PLEASE ME. FIND THE POINT EQUIDISTANT FROM (-6, -1) AND (-1, 2) AND AT A DISTANCE 5 FROM (-2, 7). THANKS IN ADVANCE </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #523135 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39621)</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=523135\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find midpoint of the first two points.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-7%2F2 ALIGN=MIDDLE  ALT=\"x=-7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1%2F2 ALIGN=MIDDLE  ALT=\"y=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Slope of the first two points, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282-%28-1%29%29%2F%28-1-%28-6%29%29=3%2F5 ALIGN=MIDDLE  ALT=\"%282-%28-1%29%29%2F%28-1-%28-6%29%29=3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The LINE containing all points equidistant from those two first given points is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%285%2F3%29x%2Bb ALIGN=MIDDLE  ALT=\"y=-%285%2F3%29x%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and you can find b using either of those two given points.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=y%2B%285%2F3%29x=-1%2B%285%2F3%29%28-6%29=-2%2A5-1=-11 ALIGN=MIDDLE  ALT=\"b=y%2B%285%2F3%29x=-1%2B%285%2F3%29%28-6%29=-2%2A5-1=-11\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "The equation of the needed line is then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-%285%2F3%29x-11%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-%285%2F3%29x-11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "Notice that the two slopes are negative reciprocals of each other.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F5%29 ALIGN=MIDDLE  ALT=\"%283%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > versus <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%2F3 ALIGN=MIDDLE  ALT=\"-5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Now you have a variable point ( x, -(5/3)x-11 ) which is 5 units distance from the point (-2, 7).  Arrange these in the Distance Formula to solve for the x coordinate (two of them) for this particular point(s) on the line of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%285%2F3%29x-11 ALIGN=MIDDLE  ALT=\"y=-%285%2F3%29x-11\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "I have not finished, but only explained what to do for finishing. </SPAN>\n" );
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