document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=160068>Question 160068</A>: <I><SPAN STYLE=\"word-break: break-all;\"> M is the midpoint of XY. X has coordinates (2, 7)and M has coordinates (6, 1). Find the coordinates of Y.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #118042 by </B><A HREF=/tutors/aboutme.mpl?userid=midwood_trail><B>midwood_trail(310)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=midwood_trail><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=118042\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> M is the midpoint of XY. X has coordinates (2, 7)and M has coordinates (6, 1). Find the coordinates of Y.\r<BR>\n" );
document.write( "\n" );
document.write( "Let (x,y) be the coordinates of Y. Then, by the midpoint formula:\r<BR>\n" );
document.write( "\n" );
document.write( "midpoint = [(x1 + x2)/2 , (y1 + y2)/2]\r<BR>\n" );
document.write( "\n" );
document.write( "We are given the midpoint to be the point (6, 1).\r<BR>\n" );
document.write( "\n" );
document.write( "Let midpoint = (6, 1)\r<BR>\n" );
document.write( "\n" );
document.write( "(6, 1) = [(x + 2)/2 , (y + 7)/2]\r<BR>\n" );
document.write( "\n" );
document.write( "Do you see the point (6,1)?\r<BR>\n" );
document.write( "\n" );
document.write( "To find the coordinates of the y point, we equate (x + 2)/2 to 6\r<BR>\n" );
document.write( "\n" );
document.write( "and then we equate (y + 7)/2 to 1 and solve for x and y individually.\r<BR>\n" );
document.write( "\n" );
document.write( "(x + 2)/2 = 6\r<BR>\n" );
document.write( "\n" );
document.write( "x + 2 = 6 * 2\r<BR>\n" );
document.write( "\n" );
document.write( "x + 2 = 12\r<BR>\n" );
document.write( "\n" );
document.write( "x = 12 - 2\r<BR>\n" );
document.write( "\n" );
document.write( "x = 10\r<BR>\n" );
document.write( "\n" );
document.write( "=============\r<BR>\n" );
document.write( "\n" );
document.write( "(y + 7)/2 = 1\r<BR>\n" );
document.write( "\n" );
document.write( "y + 7 = 1 * 2\r<BR>\n" );
document.write( "\n" );
document.write( "y + 7 = 2\r<BR>\n" );
document.write( "\n" );
document.write( "y = 2 - 7\r<BR>\n" );
document.write( "\n" );
document.write( "y = -5\r<BR>\n" );
document.write( "\n" );
document.write( "The coordinates of point y are x = 10 and y = -5 written (10, -5).\r<BR>\n" );
document.write( "\n" );
document.write( "Did you follow?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );