Question

T: What is a linear equation?
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Answer 1

Answer:

In mathematics, a linear equation is an equation that may be put in the form

Two graphs of linear equations in two variables

{\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}+b=0,}{\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}+b=0,}

where {\displaystyle x_{1},\ldots ,x_{n}}x_{1},\ldots ,x_{n} are the variables (or unknowns), and {\displaystyle b,a_{1},\ldots ,a_{n}}{\displaystyle b,a_{1},\ldots ,a_{n}} are the coefficients, which are often real numbers. The coefficients may be considered as parameters of the equation, and may be arbitrary expressions, provided they do not contain any of the variables. To yield a meaningful equation, the coefficients {\displaystyle a_{1},\ldots ,a_{n}}a_1, \ldots, a_n are required to not all be zero.

Answer 2

Answer:

An equation that makes a straight line when it is graphed.