Calculate distance, midpoint, slope, and line equations between two coordinate points instantly.
Free online coordinate geometry calculator for students, teachers, and professionals.
Enter coordinates to see results
Our calculator makes complex coordinate geometry calculations simple and instant
Enter the X and Y coordinates for Point 1
Enter the X and Y coordinates for Point 2
View calculated results: distance, midpoint, slope, and line equation
Toggle detailed breakdown to see step-by-step calculations
Use the round results option to simplify decimal values
Reset the calculator to start a new calculation
Calculate the straight-line distance between two cities with coordinates (lat, lon)
Find the center point of a triangle side to draw medians or calculate centroids
Generate the line equation passing through two known data points
Determine if the relationship between two variables is increasing, decreasing, or constant
Students learning coordinate geometry can practice problems and verify solutions instantly
Engineers calculating distances, slopes, and linear relationships in construction projects
Architects determining midpoints and geometric relationships in building designs
Developers calculating positions, distances, and trajectories in game development
Land surveyors computing property boundaries and plot dimensions
Coordinate geometry combines algebra and geometry using a coordinate system (typically the Cartesian plane). The coordinate system uses ordered pairs (x, y) to represent points in a plane, allowing geometric problems to be solved algebraically.
Distance formula: The shortest distance between two points (x₁, y₁) and (x₂, y₂) is calculated as √[(x₂ - x₁)² + (y₂ - y₁)²]. This formula is derived from the Pythagorean theorem.
Midpoint formula: The midpoint between two points (x₁, y₁) and (x₂, y₂) is calculated as [(x₁ + x₂)/2, (y₁ + y₂)/2]. This represents the center point equally distant from both coordinates.
Slope formula: The slope of a line passing through points (x₁, y₁) and (x₂, y₂) is calculated as (y₂ - y₁)/(x₂ - x₁). Positive slopes rise left to right, negative slopes fall left to right, zero slopes are horizontal, and undefined slopes are vertical.
Confusing the order of coordinates in formulas
Remember (x₁, y₁) and (x₂, y₂) must stay paired correctly in all formulas
Forgetting to apply the square root in distance calculations
Distance formula requires taking the square root of the sum of squared differences
Dividing by zero when calculating vertical line slopes
Our calculator handles vertical lines specially, returning infinite slope with x = constant equation
Mixing up midpoint and distance calculations
Midpoint uses addition and division while distance uses subtraction and square roots
Our calculator provides highly accurate results using JavaScript's mathematical functions. Results are precise to many decimal places, with a rounding option for simplified values.
Yes, our coordinate geometry calculator is completely free to use with no limitations or hidden fees.
Yes, our coordinate geometry calculator is responsive and works perfectly on all devices including smartphones, tablets, and desktop computers.
This calculator computes distance between points, midpoint coordinates, slope of the line, and the equation of the line in slope-intercept form.
Absolutely. All calculations happen locally in your browser - we don't store or transmit any of your coordinate data.
Yes, use the 'Show detailed calculation breakdown' toggle to see step-by-step how each result is computed.
The calculator handles coordinates in all four quadrants correctly, including negative coordinate values.
The calculator categorizes lines as: Horizontal (slope = 0), Vertical (undefined slope), Increasing (positive slope), and Decreasing (negative slope).