Coordinate Geometry Calculators

Coordinate Geometry Calculators

Coordinate geometry (analytic geometry) bridges algebra and geometry by describing shapes through numerical coordinates on a Cartesian plane. These calculators solve real coordinate geometry problems instantly using rigorous formulas.

Coordinate Geometry Calculators

Midpoint Calculator - Find the midpoint between any two points in 2D or 3D space. Averages the coordinates of each axis and also shows the straight-line distance between the two endpoints.

Slope Calculator - Find the slope of a line through two points, the line equation y = mx + b, the y-intercept, and the angle of inclination. Also solves for a missing coordinate given the slope and three known values.

Irregular Polygon Area Calculator - Find the exact area and perimeter of any polygon (3 to 8 vertices) by entering its vertex coordinates. Uses the Shoelace formula (Gauss’s area formula) and shows a full side-length breakdown table.

Equation of a Sphere Calculator - Find the standard form equation (x−h)²+(y−k)²+(z−l)²=r² from center and radius, or decode the general form x²+y²+z²+Dx+Ey+Fz+G=0 to extract center, radius, surface area, and volume. Two modes with full expanded form output.

Least Squares Regression Line Calculator - Compute the best-fit line ŷ = mx + b from any paired x, y data set. Shows slope, intercept, Pearson correlation r, R² (coefficient of determination), mean x and y, and a full residuals table. Predict mode forecasts y for any x value.

Distance from Point to Plane Calculator - Find the shortest (perpendicular) distance from a point to a plane in 3D space, from the plane equation Ax + By + Cz + D = 0 and point coordinates.

Cross Product Calculator - Calculate the cross product of two 3D vectors, showing the resulting perpendicular vector and its magnitude, with full component-by-component working.