215k views
2 votes
The midpoint of line segment LN, point M, is located at (0, 3).

One of the endpoints, N, is located at (-8, -1).
What are the coordinates of the other endpoint, L?

The midpoint of line segment LN, point M, is located at (0, 3). One of the endpoints-example-1
User Tompee
by
8.6k points

1 Answer

2 votes
to find a missing endpoint: find the slope of the line and (essentially) “add it” to the midpoint

slope formula: m = y2-y1/x2-x1
substitute: -1 - 3/-8 - 0 = -4/-8 = 1/2
m = 1/2

so the rise is 1 and the run is 2. now for the “adding”

the midpoint is at (0,3). the x value is 0 and they y value is 3. add the rise to the y value (as they are both going vertically) to get 4. add the run to the x value (as they are both going horizontally) to get 2.

now just make it into coordinates: (x,y) = (2, 4)

your missing endpoint is (2,4).
User Cherif KAOUA
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories