document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201988>Question 1201988</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A point Q on a segment with endpoints A (2, −1) and C (4, 2) partitions the segment in a 4:1 ratio. Find Q. Show all your work for full credit. \r<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 #836614 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13215)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=836614\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "It is likely that, in the resource you are using, there is a formula like the one shown by the other tutor for solving this problem.<br><BR>\n" );
document.write( "If you like using formulas to solve problems, then go ahead and do it that way.<br><BR>\n" );
document.write( "But mathematics will be more enjoyable if you understand what you are doing to solve the problem, instead of plugging numbers into formulas.<br><BR>\n" );
document.write( "In this problem, the point Q divides line segment AC in the ratio 4:1.  That means Q is 4/5 of the way from A to C.<br><BR>\n" );
document.write( "So the x coordinate of Q will be 4/5 of the way from the x coordinate of A to the x coordinate of C; and similarly for the y coordinate of Q.<br><BR>\n" );
document.write( "The difference between the x coordinates of A and C is 4-2 = 2; 4/5 of 2 is 1.6; the x coordinate of Q is 1.6 more than the x coordinate of A: 2+1.6 = 3.6.<br><BR>\n" );
document.write( "The difference between the y coordinates of A and C is 2-(-1) = 3; 4/5 of 3 is 2.4; the y coordinate of Q is 2.4 more than the y coordinate of A: -1+2.4 = 1.4.<br><BR>\n" );
document.write( "ANSWER: Q(3.6,1.4)<br><BR>\n" );
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