document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=84567>Question 84567</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the midpoint between (7,3) and (2,1)? <BR>\n" );
document.write( "thanks for your help<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 #60912 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=60912\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given the endpoints (7,3) and (2,1)<BR>\n" );
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document.write( "The x value of the midpoint is halfway between the x value of the two endpoints. That means<BR>\n" );
document.write( "that it is halfway between +7 and +2.  You can get this x value by averaging the x values<BR>\n" );
document.write( "of the endpoints ... adding them together and dividing by 2.  Averaging them:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2B2%29%2F2+=+9%2F2+=+4.5 ALIGN=MIDDLE  ALT=\"%287%2B2%29%2F2+=+9%2F2+=+4.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Similarly the y value of the midpoint can be found by averaging the y values of the two <BR>\n" );
document.write( "endpoints.  The y values of the endpoints are +3 and +1 and averaging them results in:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2B1%29%2F2+=+4%2F2+=+2 ALIGN=MIDDLE  ALT=\"%283%2B1%29%2F2+=+4%2F2+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "So the point that is the midpoint is defined by the two values as being (4.5, 2).<BR>\n" );
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document.write( "Hope this helps you to see how to work midpoint problems if you are given the two endpoints<BR>\n" );
document.write( "of a line.  </SPAN>\n" );
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