Coordinate Geometry Calculator

Calculate distance, midpoint, slope, and more between two points in the coordinate plane.

Point A

X-coordinate (x₁)

Y-coordinate (y₁)

Point B

X-coordinate (x₂)

Y-coordinate (y₂)

Results

Distance between points: –

Midpoint: –

Slope: –

Equation of the line: –

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Frequently Asked Questions

Coordinate geometry is a branch of mathematics that uses numerical coordinates to represent geometric figures and analyze their properties. It combines algebra and geometry to solve problems involving points, lines, and shapes on the coordinate plane.

The distance between two points (x₁, y₁) and (x₂, y₂) is calculated using the distance formula: √[(x₂ – x₁)² + (y₂ – y₁)²]. This formula is derived from the Pythagorean theorem.

The slope (m) represents the steepness and direction of a line. It’s calculated as (y₂ – y₁)/(x₂ – x₁). A positive slope means the line rises, negative means it falls, zero means it’s horizontal, and undefined means it’s vertical.

The midpoint is the point exactly halfway between two points. It’s calculated by averaging the x-coordinates and y-coordinates separately: ((x₁ + x₂)/2, (y₁ + y₂)/2).