Linear Function

For example, the graph of a linear function $f(x)=2x+4f(x)=2x+4$ looks like this:

The slope $mm$

The number $mm$ in front of the variable $xx$ indicates the slope of the function.

The slope can be read from the graph using the gradient triangle:

The $yy$-axis intercept $bb$

The number $bb$ indicates the $yy$-axis intercept of the function. The $yy$-axis intercept is the function value at $x=0x=0$.

Often an $nn$ or a $tt$ is used instead of the $bb$.

Examples

Video on the topic "Linear functions"

This video explains what is meant by a linear function.

• For each $xx$-value you get exactly one $yy$-value.

• The highest exponent of $xx$ is $11$.

• Example: $y=0.5x+1y\backslash \; =\backslash \; 0.5x\backslash \; +\backslash \; 1\backslash$

The terms function equation and function graph are explained.

This video was created by Sebastian Schmidt for his lessons according to the Flipped Classroom concept and was published on his channel on YouTube.

It continues with function equations and zeros of linear functions. This work is available under the free licence CC BY-SA 4.0.Information.