document.write( "Question 163851: M (8,6) is the midpoint of RS. The coordinates of S are (9,7). What are the coordinates of R? \n" ); document.write( "
Algebra.Com's Answer #120702 by midwood_trail(310)![]() ![]() ![]() You can put this solution on YOUR website! M (8,6) is the midpoint of RS. The coordinates of S are (9,7). What are the coordinates of R?\r \n" ); document.write( "\n" ); document.write( "The midpoint formula is:\r \n" ); document.write( "\n" ); document.write( "M = [(x1 + x2)/2, (y1 + y2)/2]\r \n" ); document.write( "\n" ); document.write( "We are given the midpoint to be (8,6).\r \n" ); document.write( "\n" ); document.write( "We are also given point S to be (9,7).\r \n" ); document.write( "\n" ); document.write( "We set it up this way:\r \n" ); document.write( "\n" ); document.write( "(8,6) = [(x + 9)/2, (y + 7)/2]\r \n" ); document.write( "\n" ); document.write( "We now equate (x + 9)/2 to 8 and solve for x and then we equate (y + 7)/2 to 6 and solve for y.\r \n" ); document.write( "\n" ); document.write( "(x + 9)/2 = 8\r \n" ); document.write( "\n" ); document.write( "Multiply both sides by 2.\r \n" ); document.write( "\n" ); document.write( "x + 9 = 8 (2)\r \n" ); document.write( "\n" ); document.write( "x + 9 = 16\r \n" ); document.write( "\n" ); document.write( "x = 16 - 9\r \n" ); document.write( "\n" ); document.write( "x = 7\r \n" ); document.write( "\n" ); document.write( "==========================\r \n" ); document.write( "\n" ); document.write( "We now do the same for y.\r \n" ); document.write( "\n" ); document.write( "(y + 7)/2 = 6\r \n" ); document.write( "\n" ); document.write( "y + 7 = 6 (2)\r \n" ); document.write( "\n" ); document.write( "y + 7 = 12\r \n" ); document.write( "\n" ); document.write( "y = 12 - 7\r \n" ); document.write( "\n" ); document.write( "y = 5\r \n" ); document.write( "\n" ); document.write( "The coordinates of point R are (7, 5)\r \n" ); document.write( "\n" ); document.write( "Did you follow? \n" ); document.write( " |