Question

Find the other endpoint of the line segment

1) Endpoint: (-6,0) midpoint: (-4,-8)
2) Endpoint: (1,1) midpoint: (-6,0) can you explain/put equation used since we need to show work
thank you!

Answer 1

To find the other endpoint of a line segment, you can use the midpoint formula. For the first problem, the other endpoint is (14, -16). For the second problem, the other endpoint is (-13, -1).

Step-by-step explanation:

To find the other endpoint of a line segment given one endpoint and the midpoint, we can use the midpoint formula. The midpoint formula is:

x = (x1 + x2)/2

y = (y1 + y2)/2

First, plug in the values for the given endpoint and midpoint:

x1 = -6, y1 = 0

x = -4, y = -8

Then, solve the equations to find the values of the other endpoint:

x2 = 2(-4) - (-6) = 8 - (-6) = 14

y2 = 2(-8) - 0 = -16 - 0 = -16

So, the other endpoint is (14, -16).

For the second problem, follow the same steps:

x1 = 1, y1 = 1

x = -6, y = 0

x2 = 2(-6) - 1 = -12 - 1 = -13

y2 = 2(0) - 1 = 0 - 1 = -1

Therefore, the other endpoint is (-13, -1).