What is the slope of the line containing the midpoint of the segment with endpoints at (0, 0) and (2, 3) and the midpoint of the segment with endpoints at (-5, 0) and (6, 3)? Express your answer in simplest form.
Midpoint of first segment =
[ ( 2 + 0)/2 , (3 + 0) /2 ] = ( 1 , 3/2 )
Midpoint of second segment
[ (-5 + 6) /2 , ( 3 + 0) / 2 ] = ( 1/2 , 3/2)
Since the y values of these midpoints are the same, the slope of the lie containing them = 0