# General Equation

## General Equation

An equation that represents a family of equations.

• Synonym for general form of an equation or standard equation.
• The general equation of a family of equations includes parameters whose variations affect the characteristics of the graph of the corresponding functions.

### Example

• The equation Ax + By + C = 0 is the general equation of the functions whose graphs are lines in a Cartesian plane. It is also the general form of first-degree equations in two variables.
• The equation A$${x^2}$$ + B$${y^2}$$ + Cxy + Dx + Ey + F = 0 is the general equation of conic sections.