# Endpoint Calculator to Find Missing Endpoint from Midpoint and Other Endpoint This unknown endpoint calculator will find the missing endpoint from the midpoint and the known endpoint.

Plus, the calculator also shows the step-by-step solution by substituting the known values into the midpoint formula and solving the linear equations.

Finally, the calculator will attempt to plot the two endpoints, graph the line, and plot its midpoint.

## Endpoint Calculator

Calculate a missing endpoint from midpoint and other endpoint, and see the step-by-step solution and a graph of the results.

#### Selected Data Record:

A Data Record is a set of calculator entries that are stored in your web browser's Local Storage. If a Data Record is currently selected in the "Data" tab, this line will list the name you gave to that data record. If no data record is selected, or you have no entries stored for this calculator, the line will display "None".

DataData recordData recordSelected data record: None
ExamplesEndpoint examplesEndpoint formula examplesEndpoint formula examples:

#### Example endpoint calculations:

To see an example of how the endpoint calculator works and what types of entries it can handle, select an endpoint problem example from the drop-down menu. To clear the entry field to enter your endpoint and midpoint, select "Choose" or click the "Reset" button at the bottom of the calculator.

Endpoint 1:Endpoint 1 (X1,Y1):Endpoint 1 (X1,Y1):Endpoint 1 (X1,Y1):
X1:
 Fraction X1 Whole number
-
 Fraction X1 numerator number
/
 Fraction X1 denominator
X1 decimal:
Y1:
 Fraction Y1 Whole number
-
 Fraction Y1 numerator number
/
 Fraction Y1 denominator
Y1 decimal:

#### Point 1 (X1,Y1):

Enter the X and Y values of the first point. The values can be in the form of a decimal or a whole number.

If you need to convert mixed numbers and fractions to decimals, expand the description to reveal a mini fraction-to-decimal calculator. Enter the whole number (if none, leave blank), the numerator, and the denominator, and the calculator will make the conversion and enter the decimal into the corresponding calculator field.

x1:
 Endpoint X1
y1:
 Endpoint Y1
Midpoint:Midpoint (Xm,Ym):Midpoint (Xm,Ym):Midpoint (Xm,Ym):
Xm:
 Fraction Xm Whole number
-
 Fraction Xm numerator number
/
 Fraction Xm denominator
Xm decimal:
Ym:
 Fraction Ym Whole number
-
 Fraction Ym numerator number
/
 Fraction Ym denominator
Ym decimal:

#### Midpoint (Xm,Ym):

Enter the X and Y values of the midpoint. The values can be in the form of a decimal or a whole number.

If you need to convert mixed numbers and fractions to decimals, expand the description to reveal a mini fraction-to-decimal calculator. Enter the whole number (if none, leave blank), the numerator, and the denominator, and the calculator will make the conversion and enter the decimal into the corresponding calculator field.

xm:
 x midpoint
ym:
 Y midpoint
X2 endpoint:

#### X2 endpoint:

This is the missing x-endpoint based on the known x-midpoint and known x-endpoint.

Y2 endpoint:

#### Y2 endpoint:

This is the missing y-endpoint based on the y-midpoint and known y-endpoint.

Endpoint:

#### Endpoint:

This is the endpoint of the line segment established by the entered coordinates (x1,y1) (mx,my).

If you would like to save the current entries to the secure online database, tap or click on the Data tab, select "New Data Record", give the data record a name, then tap or click the Save button. To save changes to previously saved entries, simply tap the Save button. Please select and "Clear" any data records you no longer need.

## Learn

### How to find the missing endpoint.

#### How to find the other endpoint with given endpoint and midpoint

To find the endpoint of a line segment, you can use one of two methods.

Method #1: Move the same x and y units to find the missing endpoint as you moved from the known endpoint to the midpoint.

For example, if the starting endpoint is (-1, 4) and the midpoint is (1, 5), you would need to move 2 x-values to the right to get to the x-midpoint and 1 y-value up to get the y-midpoint. So if you move 2 x-values to the right of the x-midpoint, you arrive at the missing x-endpoint of 3. And if you move 1 y-value up from the y-midpoint, you arrive at the missing y-endpoint of 6. This gives you a missing endpoint of (3 , 6).

Method #2: Substitue the known points into the midpoint formula and solve the two linear equations.

 Midpoint Formula x1 = -1 y1 = 4 xm = 1 ym = 5 (xm, ym) = ( x1 + x2 , y1 + y2 ) 2 2

Substitute known values.

 (1, 5) = ( -1 + x2 , 4 + y2 ) 2 2
 Solve for x2 1 = -1 + x2 2

Multiply both sides of the equation by 2 to get rid of the denominator.

2 = -1 + x2

Add 1 to both sides of the equation to get x2 by itself.

3 = x2

 Solve for y2 5 = 4 + y2 2

Multiply both sides of the equation by 2 to get rid of the denominator.

10 = 4 + y2

Subtract 4 from both sides of the equation to get y2 by itself.

6 = y2

Endpoint (x2, y2) = (3, 6) Move the slider to left and right to adjust the calculator width. Note that the Help and Tools panel will be hidden when the calculator is too wide to fit both on the screen. Moving the slider to the left will bring the instructions and tools panel back into view.

Also note that some calculators will reformat to accommodate the screen size as you make the calculator wider or narrower. If the calculator is narrow, columns of entry rows will be converted to a vertical entry form, whereas a wider calculator will display columns of entry rows, and the entry fields will be smaller in size ... since they will not need to be "thumb friendly".