What is the midpoint of the segment shown below A 4 3 B 2 3

What is the midpoint of the segment shown below? A. (4, -3) B. (2, - 3/2) C. (2, -3) D. (4, -3/2)

Solution

The midpoint (x,y) of a line segment having end points (x1,y1), (x2,y2) is

x = (x1+x2)/2 = (2+2)/2 = 2 and y = (y1+y2)/2 = (4+(-7))/2 = -3/2

Therefore the midpoint is (2,-3/2) OPTION B