document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=134119>Question 134119</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the quadrilateral with vertices P(6,3), Q(2,-2), R(1,7) and S(x,y) is a parallelogram. Find (x,y) algebraically. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #98084 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=98084\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Calculate the slope of the line passing through P and Q.  Use the point-slope form of the equation of a line to derive an equation of a line parallel to the line through P and Q passing through R.  Hint:  Parallel lines have equal slopes.\r<BR>\n" );
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document.write( "Repeat the process using the slope of the line through PR to derive an equation of the line parallel to PR passing through Q.\r<BR>\n" );
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document.write( "Solve the system of equations consisting of your two derived equations.  The solution set will be the ordered pair defining S. </SPAN>\n" );
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