document.write( "Question 53640: if m(-11,13) is the idpoint of segment PQ and the coordinates od P are (-6,6), find the coordinates of Q. \n" ); document.write( "
Algebra.Com's Answer #35903 by Edwin McCravy(20086)\"\" \"About 
You can put this solution on YOUR website!
if m(-11,13) is the midpoint of segment PQ and \r\n" );
document.write( "the coordinates of P are (-6,6), find the \r\n" );
document.write( "coordinates of Q. \r\n" );
document.write( "\r\n" );
document.write( "Let the coordinates of the Q be (x1, y1)\r\n" );
document.write( "The coordinates of P are given as (x2, y2) = (-6, 6)\r\n" );
document.write( "\r\n" );
document.write( "The midpoint formula is:\r\n" );
document.write( "\r\n" );
document.write( "   m( (x1 + x2)/2 , (y1 + y2)/2 ) = m(-11, 13)\r\n" );
document.write( "\r\n" );
document.write( "m( (x1 + (-6))/2, (y1 + 6)/2 ) = m(-11, 13)\r\n" );
document.write( "\r\n" );
document.write( "          m( (x1-6)/2, (y1+6)/2 ) = m(-11,13)\r\n" );
document.write( "\r\n" );
document.write( "So set the x-coordinates equal:\r\n" );
document.write( "\r\n" );
document.write( "(x1-6)/2 = -11\r\n" );
document.write( "\r\n" );
document.write( "Multiply both sides by 2\r\n" );
document.write( "\r\n" );
document.write( "  (x1-6) = -22\r\n" );
document.write( "\r\n" );
document.write( "  x1 - 6 = -22\r\n" );
document.write( "\r\n" );
document.write( "      x1 = -16\r\n" );
document.write( "\r\n" );
document.write( "Now set the y-coordinates equal:\r\n" );
document.write( "\r\n" );
document.write( "(y1+6)/2 = 13\r\n" );
document.write( "\r\n" );
document.write( "Multiply both sides by 2\r\n" );
document.write( "\r\n" );
document.write( "  (y1+6) = 26\r\n" );
document.write( "\r\n" );
document.write( "  y1 + 6 = 26\r\n" );
document.write( "\r\n" );
document.write( "      y1 = 20\r\n" );
document.write( "\r\n" );
document.write( "So the point is Q(-16, 20)\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );