The endpoints of a line segment graphed on a Cartesian coordinate system are (-3, 5) and (2, -1). What are the coordinates of the midpoint of the segment?

A. (-2.5, 2)
B. (-2, 2.5)
C. (-6, -5)
D. (-0.5, 2)
E. (-1, 4)
F. (-2, 3.5)

Question

The endpoints of a line segment graphed on a Cartesian coordinate system are (-3, 5) and (2, -1). What are the coordinates of the midpoint of the segment?

 		A.	(-2.5, 2)
 		B.	(-2, 2.5)
 		C.	(-6, -5)
 		D.	(-0.5, 2)
 		E.	(-1, 4)
 		F.	(-2, 3.5)

whpalmer4 · Answer

You can find the midpoint of a line segment by taking the average of the x values of the endpoints and the average of the y values of the endpoints.  Those two numbers will be the coordinates of the midpoint.  

If you think about it graphically, the x value is going to be halfway between the two x values and the y value will be halfway between the two y values |dw:1369341305122:dw|