# Polar coordinates of a line

## Description

In mathematics, the polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a fixed point and an angle from a fixed direction.

The fixed point (analogous to the origin of a Cartesian system) is called the pole, and the ray from the pole in the fixed direction is the polar axis. The distance from the pole is called the radial coordinate or radius, and the angle is the angular coordinate, polar angle, or azimuth. In polar coordinates on the Euclidean plane a line is expressed by an equation that involves the radius , the slope and the polar angle.

## Variables

r | Radius ( radial coordinate) (dimensionless) |

θ | Angle ( angular coordinate) (dimensionless) |

m | Slope of the line (dimensionless) |

b | The y-intercept. (dimensionless) |