Find the Rate of Change: Analyzing y=14+5x Linear Function

To determine the rate of change of the linear function $y = 14 + 5x$, we need to identify the structure of the equation. We notice that it is given in the slope-intercept form $y = mx + b$, where $m$ is the slope or the rate of change.

In the equation $y = 14 + 5x$, the term involving $x$ is $5x$. Thus, the coefficient of $x$, which is $5$, represents the rate of change or slope of the function.

Therefore, the rate of change of the function is $m = 5$.