document.write( "Question 1085932: Find the coordinates of the midpoint of a segment with the end points (16,5) & (28, -13) \n" ); document.write( "
Algebra.Com's Answer #700029 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Let's define \n" ); document.write( "P = (16,5) \n" ); document.write( "Q = (28,-13) \n" ); document.write( "as the two given points\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let M be the midpoint. We don't know the coordinates for M, so we'll make M = (x,y).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To find the x coordinate of M, we add up the x coordinates of P and Q, then divide by 2 \n" ); document.write( "x = (x coord of P + x coord of Q)/2 \n" ); document.write( "x = (16+28)/2 \n" ); document.write( "x = (44)/2 \n" ); document.write( "x = 22\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Do the same for the y coordinates as well \n" ); document.write( "y = (y coord of P + y coord of Q)/2 \n" ); document.write( "y = (5+(-13))/2 \n" ); document.write( "y = (5-13)/2 \n" ); document.write( "y = (-8)/2 \n" ); document.write( "y = -4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Because x = 22 and y = -4, this means the midpoint is M = (x,y) = (22, -4) \n" ); document.write( " \n" ); document.write( " |