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A linear relation is a straight line. A non-linear relation is not - it mayor may not be be a curve.
A linear function would be represented by a straight line graph, so if it's not a straight line, it's nonlinear
It can be thought of as a function that does not graph to a line when plotted. For example, y=4 or y=5x are linear. But y=x2 or y=x1/2 or y=ln(x) are not linear
A linear function is a function whose graph is a straight line.
To be linear, there should only be constants, and variables with constant coefficients. No powers of variables, or numbers raised to the power of a variable, or any other nonlinear function such as log, ln, sin, cos, tan, cosh, etc.