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Linear Equation in two variables

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☼ Linear Equation in two variables : The equation of the form ax + by + c = 0

( Where, a, b, c are real numbers and a² + b² $\ne$ 0 ) is called linear equation in two variables x and y.

Note : (i) a² + b² = 0 $\Leftrightarrow$ a = b = 0.

(ii) a² + b² $\ne$ 0 $\Leftrightarrow$ Both a and b are not zero at the same time.

(iii) The graph of a linear equation ax + by + c = 0 is a straight line in co–ordinate axes.