A linear function relates a dependent variable (y) and an independent variable (x) with a straight line equation or formula. The dependent variable is a function of the independent variable.
Mathematically, it is represented as:
$$f(x) = mx + b,$$
where \(m\) is the slope of the line and \(b\) is the y-intercept.
Characteristics of a linear function:
The line is straight.
The rate of change (slope) is constant for a linear function.
For every change in the independent variable \(x\) by one unit, the dependent variable \(y \) changes by \( m \) units.
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