Enter both coordinate points.
Geometry Calculator
Coordinate Geometry Calculator
Find distance, midpoint, slope, direction angle, and line equation from two Cartesian coordinate points.
Instant answer
Formula breakdown
Browser-based
Mobile friendly
Interactive calculator
Enter your values
Use the example values or replace them with your own. Required validation happens before the calculation.
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Calculated answer
Result
Simple workflow
How to use the Coordinate Geometry Calculator
Follow these steps to get a reliable result and understand how it was produced.
Compute horizontal and vertical differences.
Calculate distance, midpoint, slope, and line information.
Understanding the calculation
Coordinate differences determine distance and slope. The midpoint averages corresponding coordinates.
Distance = √[(x₂−x₁)²+(y₂−y₁)²]The result panel substitutes your numbers into this relationship and shows the important intermediate values.
Common uses
- Graphing and analytic geometry
- Map and screen coordinates
- Line equation checks
Accuracy tips
- A vertical line has undefined slope.
- Identical points have zero distance and no unique line direction.
- The direction angle is measured from the positive x-axis.
Helpful answers
Coordinate Geometry Calculator FAQs
Important details about formulas, inputs, limitations, and result interpretation.
Why is a vertical slope undefined?
Slope divides vertical change by horizontal change, and a vertical line has zero horizontal change.
How is the midpoint found?
Average the x-coordinates and separately average the y-coordinates.
What is the line equation?
For non-vertical lines it is expressed as y=mx+b.
Can coordinates be negative?
Yes. Any real coordinate values are supported.