Question

The midpoint of LN is M(0,3). One of the endpoints is N(-8, -1). What are the coordinates of the other endpoint, L(x, y)?

a) L(8, 7)
b) L(8, -7)
c) L(-8, 7)
d) L(-8, -7)

Answer 1

The coordinates of the other endpoint L are (-4, 1).

Step-by-step explanation:

To find the coordinates of the other endpoint, we can calculate the coordinates of point L by using 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.

Given that the midpoint M is (0,3) and one endpoint N is (-8, -1), we can use the midpoint formula to find the coordinates of point L:

x-coordinate of L = (x-coordinate of N + x-coordinate of M) / 2
y-coordinate of L = (y-coordinate of N + y-coordinate of M) / 2

Substituting the given values, we get:

x-coordinate of L = (-8 + 0) / 2 = -4
y-coordinate of L = (-1 + 3) / 2 = 1

Therefore, the coordinates of the other endpoint L are (-4, 1).