document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1012381>Question 1012381</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If A(-10, -4) and B(5,16), find the coordinates of P(x,y) that divides AB such that AP:PB=2:3. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #628275 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=628275\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi there,<BR>\n" );
document.write( "AP/PB = 2/3 +> p-a/b-p = 2/3<BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "2(b - p) = 3(p - a)<BR>\n" );
document.write( "2b - 2p = 3p - 3a<BR>\n" );
document.write( "Collect like terms<BR>\n" );
document.write( "-2p - 3p = -3a - 2b<BR>\n" );
document.write( "-5p = -3a - 2b<BR>\n" );
document.write( "Multiply both sides by -1<BR>\n" );
document.write( "5p = 3a + 2b<BR>\n" );
document.write( "p = 1/5(3a + 2b)<BR>\n" );
document.write( "p = 1/5(3{-10, -4} + 2{5, 16})<BR>\n" );
document.write( "p = 1/5{-30, -12} + {10, 32}<BR>\n" );
document.write( "p = 1/5[-20, 20]<BR>\n" );
document.write( "p = [-4, 4]<BR>\n" );
document.write( "Hope this helps :-) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );