To find the rate of change of the function \( y = 5x + 9 \), we need to identify the slope of the linear equation.
In a linear function in the form \( y = mx + b \), \( m \) represents the slope (or the rate of change) and \( b \) is the y-intercept.
For the given function \( y = 5x + 9 \):
- The slope \( m \) is 5.
Therefore, the rate of change is 5. This means that for every 1 unit increase in \( x \), \( y \) increases by 5 units.