document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=462831>Question 462831</A>: <I><SPAN STYLE=\"word-break: break-all;\">  the endpoint of segment AB are A(1,-5)and B (9,11) . Find the coordinates of the point 7/8 of the way from A to B  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #317204 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=317204\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Treat the points as mass points. To find the point 7/8 of the way from A to B (with B being the closer point), we treat B as a point having a greater mass. If we denote the unknown point C, we can say that C is the \"center of mass\" (this technique is similar to weighted average, or one involving torque in physics). Applying this technique,\r<BR>\n" );
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document.write( "C = (7(9,11) + 1(1,-5))/8 = (8,9)\r<BR>\n" );
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document.write( "It can also be found by taking the differences in the x- and y-coordinates (8 and 16), then scaling each one by 7/8 to get (8,9) as the coordinates(luckily we get integer answers). </SPAN>\n" );
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