find the endpoint in the line segment given the endpoint of (5,2) and midpoint of (-10,-2)

Answer 1

Hi Lisbeth,

Midpoint is the average of the 2 x coordinates divided by two and the two y coordinates divided by 2. So then set up an algebraic equation to solve for the unknown points of the endpoint.

Example

-10 = 5 + x/2 solve for x and then do the same setup for y.

Hope this helps.

Answer 2

If (x₁,y₁) is one endpoint and (x₂,y₂) is the other, the mid point is

[.5(x₁ + x₂),.5(y₁ + y₂)].

With that information you should be able to answer this question yourself.

Answer 3

Hi Lisbeth. The way to find the endpoint is to see how far you have gone from the first point, to the midpoint.

For example, for the x value, you have gone from 5 to -10. That is a decrease of 15. This means you need to go another 15 to the left for the x value, bringing you to -25.

For the y value, you are going from 2 to -2. That is a decrease of 4 for the y value. That means you need to go another 4 down to get to the endpoint, which is -6.

Therefore, the answer to the endpoint is (-25,-6).

Please consider hiring me as a tutor. Thanks!