How to Find Endpoint With Midpoint and One Endpoint Formula

An online endpoint calculator allows you to find the endpoint of the line segment by knowing the starting point and the midpoint of the line. In other words, this endpoint finder finds the missing endpoints and plot start point, midpoint, and endpoint on graph.

Read on to know the basic definition of endpoint in (math) geometry, it's formula, step-by-step calculations manually and with calculator and different related terms!

What is Endpoint Definition?

An endpoint is a point on either end of a line segment or one end of the ray. In the line segment, the line does not extend the endpoints similarly in ray a line has one endpoint and the line goes in one direction. Therefore, it is defined as "A point where a line ends or stops".

Did You Know!

what is line segment: In mathematics, as from the name it is the segment of a line & formally is defined as "A line which connects the two points and does not extend from these points".
what is a ray: The ray is a line which starts from a point and extends in one direction.

And, if you need to find a midpoint, then use this calculator for midpoint by calculator-online that helps to find the midpoint & distance of a line segment, and shows you step-by-step calculations.

What is Endpoint Formula?

If you have the line segment having the starting endpoint (x1,x2). Now we will explain how to find the endpoint (x2,y2) if we know the midpoint (x,y)of the line segment.

This missing endpoint formula helps to calculate endpoint from midpoint and other endpoint.

x2 = 2*x – x1

y2 = 2*y – y1

Where,

(x2,y2) are the coordinates of the endpoint which you want to calculate.
(x1,y1) are the coordinate points of the starting point.
(x,y) are the coordinates of the midpoint.

Length of The Line Segment and Distance Between Endpoints:

In geometry, the length of the line segment or distance between the two endpoints can be calculated by the distance formula. It is as follows,

d = √(x2-x1)+(y2-y1)

Where,

(x1,y1) are the coordinates of the starting point.
(x2,y2) are the coordinates of the endpoint.

Also, give a try to this free distance formula calculator to measure the distance among any two points, parallel or straight lines with coordinates (x, y, z, k) in 1 to 4 dimensions. This online slope calculator lets you find a slope between any two points in the Cartesian coordinate system.

About Endpoint Calculator:

An online missing endpoint calculator allows you to find out the missing endpoint of the line segment by using midpoint and other endpoints (starting point). This endpoint solver estimates the distance between the endpoints of the line segment or the length of the line segment with complete step-by-step calculations for each result. Our calculator uses a simple formula for finding missing endpoints of a line segment exactly.

How to Use The Endpoint Formula Calculator:

You can easily and accurately find the endpoint of the line segment in coordinate geometry with this online tool. Follow these steps for fast and exact calculations.

Read on!

Inputs:

First of all, you have to put the coordinates of the starting point in the designated field of x1 and y1.
Next, enter the coordinate values of the midpoint of the line segment.
Lastly, hit the calculate button.

Outputs:

The missing endpoint calculator will calculate the following:

The coordinates of the endpoint.
Step-by-Step calculation to find the endpoint.
Distance between the two endpoints.
Step-by-Step calculation for distance calculation.
Graph of the line segment.

Real-life Example of Endpoint:

Now, let's sum up the above discussion with the help of real-life examples. A YouTubers starts a channel, and have zero subscribers at month zero, it means the starting point is (0,0). Now he is at 6 months with 7000 subscribers which are half of what he would want to calculate. So, the midpoint is (6,70000).

So, by using the endpoint formula the coordinate points of the endpoint are (12,140000).

How to find endpoint of line segment (Step-by-Step)?

Our endpoint formula calculator uses the same above-mentioned formula for accurate calculations. So, here we have a manual calculation to find the endpoint of the line segment. Let's try an example.

Example:

If you have the starting point (5,-2) and the midpoint of the line segment is (-9,5), then find out the endpoint of the line segment?

Solution:

Step1:

Let we suppose,

The starting point coordinates, x1 = 5 , y1 = -2

The midpoint coordinates, x = -9 , y = 5

Step 2:

The formula for endpoint coordinates is,

x2 = 2*x – x1

x2 = 2*-9 – 5

x2 = -18 – 5

x2 = -23

Step 3:

y2 = 2*y – y1

y2 = 2*5 – (-2)

y2 = 10 + 2

y2 = 12

Step 4:

So,the coordinate points of the endpoint are (-23,12).

Frequently Ask Questions (FAQ's):

What has only one endpoint?

The ray is a line that has only one endpoint and the other side extends away from the endpoint.

What is the length of a segment when the coordinates of its endpoints are (- 4 5 ) and (- 6 9)?

The length of a line segment of the given coordinates calculated by the distance formula is 4.47.

How do you find the difference between two points?

You can find the difference between the two points with the assistance of the distance formula. The distance formula is the square root of the sum of squared values of x-axis distance and y-axis distance.

What is the distance between the two points?

The distance between the two points is actually the length of the line which connects two points. The distance between the two points is always positive. Our free endpoint calculator not only helps you to calculate the missing points from the start and midpoint but also find the distance between the two given points.

How many endpoints does a line segment have?

The line segment has only two endpoints. In a line segment, there are many points enclosed in between the two endpoints.

Can a line have 3 points?

Yes, a line segment can have 3 or more points. They all three points lie on the same line and the line could be called line AB, lineBA, lineAC, lineCA, lineBC, line CB.

An angle is formed when two rays share a common endpoint. The endpoint where two rays met each other called the vertex.

Wrapping-it up:

Hope so, you get an actual idea of finding endpoint of a line segment, which just indicates the "points" that located at the 'ends' of the line segment. So, consider the missing endpoint calculator to find endpoint from midpoint and endpoint (start-point). Also, this endpoint finder plot "start-point", "midpoint", and "endpoint" on the graph.

References:

From the source of mathnet: Naming objects using endpoints and Length of a line segment and endpoints

From the source of varsitytutors: How to find the endpoints of a line segment

From the source of wikihow: How to Find the Second Endpoint Algebraically when Given One Endpoint and the Midpoint

From the source of algebra: Find the coordinates of the other endpoint (endpoint and the midpoint of a line segment given).

How to Find Endpoint With Midpoint and One Endpoint Formula

Source: https://calculator-online.net/endpoint-calculator/