What is a Linear Function?

Graphs of linear functions

The blue line, $y=\frac{1}{2}x-3$ and the red line, $y=-x+5$ are both linear functions. The blue line has a positive slope of $\frac{1}{2}$ and a $y$-intercept of $-3$; the red line has a negative slope of $-1$ and a $y$-intercept of $5$.

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"Original figure by Julien Coyne. Licensed CC BY-SA 4.0."

Julien Coyne CC BY-SA 3.0.

What is a Linear Function?

Graphs of linear functions

Source

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