# linear equation

- a first-order equation involving two variables: its graph is a straight line in the Cartesian coordinate system.
- any equation such that the sum of two solutions is a solution, and a constant multiple of a solution is a solution.

Compare linear operator.

## Origin of linear equation^{}

First recorded in 1810–20

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# linear equation

- a polynomial equation of the first degree, such as x + y = 7

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# linear equation

- An algebraic equation, such as y = 4x + 3, in which the variables are of the first degree (that is, raised only to the first power). The graph of such an equation is a straight line.

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