document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1012382>Question 1012382</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Points P and Q are between point A and B with P closer to A. If A(-1,2) and B(8,20) find the coordinates of P and Q such that AP:PQ:QB=2:3:4. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #628744 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=628744\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Points P and Q are between point A and B with P closer to A. If A(-1,2) and B(8,20) find the coordinates of P and Q such that AP:PQ:QB=2:3:4.<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "2+3+4 = 9<BR>\n" );
document.write( "P is 2/9 of the distance from A to B<BR>\n" );
document.write( "Q is (2+3)/9 = 5/9 of the distance from A to B<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Do x and y separately.<BR>\n" );
document.write( "For x: AB distance = 9<BR>\n" );
document.write( "P = -1 + (2/9)*9 = 1<BR>\n" );
document.write( "Q = -1 + (5/9)*9 = 4<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "For y: AB distance = 18<BR>\n" );
document.write( "P = 2 + (2/9)*18 = 6<BR>\n" );
document.write( "Q = 2 + (5/9)*18 = 12<BR>\n" );
document.write( "===========================<BR>\n" );
document.write( "P(1,6)<BR>\n" );
document.write( "Q(4,12) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );