This tool helps you calculate the length of a line segment given its endpoints.

## How to Use the Line Segment Calculator

To use this calculator, enter the coordinates of the two endpoints of the line segment you wish to analyze into the X1, Y1, X2, and Y2 fields. Click the “Calculate” button to see the length, midpoint, and slope of the line segment.

### Explanation of Calculations

**Length:**The length of the line segment is calculated using the distance formula: ( sqrt{(x2 – x1)^2 + (y2 – y1)^2} )**Midpoint:**The midpoint is found by averaging the coordinates: ( left(frac{x1 + x2}{2}, frac{y1 + y2}{2}right) )**Slope:**The slope is calculated using the slope formula: ( frac{(y2 – y1)}{(x2 – x1)} )

### Limitations

This calculator assumes a 2D Cartesian coordinate system and does not support vertical lines for the slope calculation (where X1 = X2), as the slope in this case is undefined.

## Use Cases for This Calculator

### Calculate Distance Between Two Points

You can determine the distance between two points on a Cartesian plane using a line segment calculator. By simply inputting the coordinates of both points, the calculator employs the distance formula to deliver the exact length of the segment that connects them.

### Determine Midpoint of a Line Segment

Finding the midpoint of a line segment is easy with a line segment calculator. By entering the coordinates of the endpoints, the calculator will use the midpoint formula to provide you with the coordinates that lie exactly in the center of the segment.

### Check Collinearity of Three Points

If you’re working with points on a graph, you can check if three points are collinear using the line segment calculator. Input the coordinates of the three points and the calculator will determine if they lie on the same line, helping you confirm geometric relationships.

### Calculate Slope of a Line Segment

Understanding the slope of a line segment is crucial for graphs and slope-intercept forms. By entering the coordinates of the endpoints, the calculator will compute the slope using the slope formula, enhancing your knowledge of the line’s steepness.

### Find the Length of a Vertical or Horizontal Segment

Sometimes you need to calculate the length of strictly vertical or horizontal line segments. The calculator simplifies this by allowing you to input the coordinates of the endpoints, giving you an accurate measure of the segment’s length along the axes.

### Extend a Line Segment to a Specific Length

If you want to extend a line segment to achieve a specific length, this calculator is your go-to tool. By inputting the original segment’s endpoints and the new desired length, the calculator will give you the coordinates of the new endpoints after extension.

### Determine the Angle Between Two Line Segments

Understanding the angle between two intersecting line segments can be accomplished with a line segment calculator. By entering the coordinates for each segment, the calculator finds the angle in degrees or radians, helping you explore geometric relationships more thoroughly.

### Reflect a Line Segment Across an Axis

You can easily reflect a line segment across either the x-axis or y-axis with this calculator. Input the endpoints of the segment, choose the axis of reflection, and the calculator will provide you with the new coordinates of the reflected segment.

### Calculate the Perimeter of a Polygon Formed by Multiple Segments

If you have a polygon formed by multiple line segments, the line segment calculator can find its perimeter. By entering the coordinates of all vertices, the calculator sums the lengths of all segments to give you the total perimeter instantly.

### Integrate a Line Segment into a 3D Space Calculation

For those working with 3D geometries, this calculator can help you incorporate line segments into your calculations. By entering the coordinates in three dimensions, you can find the line segment’s length or even its relationship with other 3D objects effectively.