Question

 Consider the line segment LP with endpoint at L (-3, -5) and P (9, 7) and midpoint M.

What is the x—coordinate of N, the point that partitions segment MP in a 1 : 1 ratio?

A. 4
B. -4
C. -6
D. 6

Answer 1

D. 6

Explanation:

Finding M:

M is the midpoint of L and P, which is given by the mean coordinates of L and P.

x for L is -3, and for P is 9. So

(-3 + 9)/2 = 6/2 = 3

Finding N:

N is the midpoint between M and P, that is, the mean between the coordinates of M and P. So

(3 + 9)/2 = 12/2 = 6

The correct answer is given by option D.