Question

M is the midpoint of LN. L has coordinates (-3, 14) and N has coordinates (5, -6). Find the coordinate of M.

a) (1, 4)
b) (1, 8)
c) (1, 10)
d) (1, -1)

Answer 1

The coordinate of the midpoint M is (1, 4).

Step-by-step explanation:

To find the coordinate of the midpoint M, we can use the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the two endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the two endpoints.

In this case, L has coordinates (-3, 14) and N has coordinates (5, -6).

Using the midpoint formula:

x-coordinate of M = (x-coordinate of L + x-coordinate of N) / 2 = (-3 + 5) / 2 = 2 / 2 = 1.

y-coordinate of M = (y-coordinate of L + y-coordinate of N) / 2 = (14 + -6) / 2 = 8 / 2 = 4.

Therefore, the coordinate of M is (1, 4).