What is a function with a constant rate of change?

A function with a constant rate of change is a linear function, which can be expressed in the form ( f(x) = mx + b ), where ( m ) represents the slope (the rate of change) and ( b ) is the y-intercept. In this type of function, the output changes by a consistent amount for each unit change in the input, resulting in a straight line when graphed. This means that no matter where you are on the line, the rate at which ( f(x) ) increases or decreases remains the same.