What is a cartesian equation?

A Cartesian equation is a mathematical representation of a geometric shape or relationship in the Cartesian coordinate system. In the Cartesian coordinate system, points are represented by coordinates (x, y) where x represents the horizontal position and y represents the vertical position.

A Cartesian equation is typically written in the form f(x, y) = 0, where f is a function that relates the variables x and y in some way. The equation describes a curve, surface, or other geometric object in the xy-plane.

Cartesian equations can represent a wide range of geometric shapes, including lines, circles, parabolas, ellipses, hyperbolas, and more complex curves. These equations can be used to analyze and graph geometric shapes, solve problems in physics and engineering, and model real-world phenomena.

Overall, Cartesian equations are a fundamental tool in mathematics and are used extensively in various fields of study.