document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=996753>Question 996753</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The point Q is twice as far from (-2,-8) as it is from (13,5). If it lies on the segment joining the two, what are the coordinates of Q? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #615073 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=615073\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The point Q is twice as far from (-2,-8) as it is from (13,5). If it lies on the segment joining the two, what are the coordinates of Q?<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "A(-2,-8) to B(13,5). <BR>\n" );
document.write( "Find the x & y coordinates separately.<BR>\n" );
document.write( "x distance = 13+2 = 15<BR>\n" );
document.write( "(2/3)*15 = 10<BR>\n" );
document.write( "-2 + 10 = 8<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "y distance 5 + 8 = 13<BR>\n" );
document.write( "--> (2/3)*13 = 26/3<BR>\n" );
document.write( "-8 + 26/3 = 2/3<BR>\n" );
document.write( "---<BR>\n" );
document.write( "--> Q(8,2/3) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );