Question

Find the other endpoint of the line segment with the given endpoint and midpoint.

Endpoint: (-4, -1)
Midpoint: (-10, -10)

a) (-16, -19)
b) (-10, -10)
c) (-4, -1)
d) (-16, -11)

Answer 1

To find the other endpoint of the line segment, we can use the formula for finding the midpoint of a line segment. Given that the endpoint is (-4, -1) and the midpoint is (-10, -10), the other endpoint is (-16, -19).

Step-by-step explanation:

To find the other endpoint of the line segment, we can use the formula for finding the midpoint of a line segment:

The formula of Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Given that the endpoint is (-4, -1) and the midpoint is (-10, -10), we can plug in the values and solve for the other endpoint:

(x1 + (-4)) / 2 = -10

x1 - 4 = -20

x1 = -16

(y1 + (-1)) / 2 = -10

y1 - 1 = -20

y1 = -19

So, the other endpoint is (-16, -19).