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 A
*x*+ B*y*+ 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\({y^2}\) + C
*xy*+ D*x*+ E*y*+ F = 0 is the general equation of conic sections.