document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184968>Question 1184968</A>: <I><SPAN STYLE=\"word-break: break-all;\"> P(-2,3), Q(8,-5) ... PQ = sqr164 and midpoint of PQ is sqr41;<BR>\n" );
document.write( "Find coordinates of R (x, y) if Q is midpoint of PR. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #815668 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</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=815668\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "You should know how to use the midpoint formula, as the other tutor did, to get the answer to the problem.  However, plugging numbers into a formula doesn't teach you much.<br><BR>\n" );
document.write( "You will learn a lot more by solving the problem using common sense; doing so should help you UNDERSTAND the midpoint formula.<br><BR>\n" );
document.write( "Imagine you are walking from P towards R and when you reach Q you are halfway there.<br><BR>\n" );
document.write( "In going halfway from P to R, you have gone from x=-2 to x=8, a change of 10 units; to go the other half of the way you need to go another 10 units in the x direction, which will put you at x=18.<br><BR>\n" );
document.write( "And in going halfway from P to R, you have gone from y=3 to y=-5, a change of -8 units; to go the other half of the way you need to go another -8 units in the y direction, which will put you at y=-13.<br><BR>\n" );
document.write( "So the end of your journey is at (18,-13).<br><BR>\n" );
document.write( "ANSWER: R is (18,-13)<br><BR>\n" );
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