What are linear and non-linear?

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Solution

Linear equation:
An equation where the highest exponent of a variable is one.
A linear equation is of the form, $y = m x + c$ . where $m$ is a slope and $c$ is a constant
The graph of the equation is a straight line.
Example: $y = 3 x + 5$

Non-Linear equation:
An equation where the highest exponent of variables is $2$ or more.
A simple non-linear equation is of the form: $a x^{2} + b y^{2} = c$ .
The graph of the equation is a curve.
Example: $x^{2} + y^{2} = 6$

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