# What is the Endpoint Formula?

Let's say you had one midpoint given. If you had neither endpoint given nor another midpoint given, then there are an infinite number of endpoints possible and your point is arbitrarily placed (because you only have one point available).

So, to find an endpoint, you need one endpoint and a designated midpoint.

where an average is defined as:

By signing up, you agree to our Terms of Service and Privacy Policy

The endpoint formula in mathematics refers to a method for finding the coordinates of the endpoint of a line segment given the coordinates of one endpoint and the length and direction of the line segment.

Let's say you have the coordinates of one endpoint of the line segment ( (x_1, y_1) ), and you know the length ( L ) of the line segment and the angle ( \theta ) it makes with the positive x-axis.

The endpoint formula is:

[ x_2 = x_1 + L \cos(\theta) ] [ y_2 = y_1 + L \sin(\theta) ]

Where ( (x_2, y_2) ) are the coordinates of the endpoint of the line segment.

By signing up, you agree to our Terms of Service and Privacy Policy

- Circle A has a center at #(1 ,4 )# and a radius of #5 #. Circle B has a center at #(9 ,3 )# and a radius of #1 #. Do the circles overlap? If not what is the smallest distance between them?
- A triangle has corners at #(6 ,7 )#, #(2 ,6 )#, and #(1 ,5 )#. How far is the triangle's centroid from the origin?
- A line passes through #(5 ,0 )# and #(7 ,9 )#. A second line passes through #(3 ,6 )#. What is one other point that the second line may pass through if it is parallel to the first line?
- What is the perimeter of a triangle with corners at #(6 ,4 )#, #(8 ,2 )#, and #(5 ,7 )#?
- A triangle has corners at #(1 ,6 )#, #(7 ,4 )#, and #(5 ,9 )#. How far is the triangle's centroid from the origin?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7