Examples for

# Coordinate Geometry

Coordinate geometry, or analytic geometry, is the study of geometry using an algebraic representation of a specified coordinate system to find and analyze relations between geometric figures. Wolfram|Alpha has knowledge about many geometric figures and is capable of determining the algebraic equations for them and computing geometric properties.

### Lines

Compute the equation and draw the graph of a line.

#### Specify a line through two points:

#### Specify a line by slope and intercept:

### Quadrants

Identify the quadrant in which a given 2D point lies.

#### Identify the quadrant that contains a given point:

### Planes

Compute the equation and draw the graph of a plane in 3D.

#### Specify a plane through three points:

Identify and compute the properties of circles, ellipses, parabolas and hyperbolas.

#### Plot a conic section and identify its type:

#### Find a circle passing through three points:

#### Compute properties of a parabola:

### GO FURTHER

Step-by-Step Solutions for Geometry### RELATED EXAMPLES

Find the points of intersection for a geometric object with its coordinate axes.