Calculate Rate of Change: Finding the Slope of y=7-3x

To identify the rate of change of the linear function $y = 7 - 3x$, we need to determine the slope of the equation.

The given function is in the form of $y = mx + b$, where $m$ is the slope or rate of change.

In the equation $y = 7 - 3x$, we notice that it can be rewritten as $y = -3x + 7$. Comparing this with the standard form $y = mx + b$, we find that the coefficient of $x$ is -3, meaning $m = -3$.

Therefore, the rate of change of this linear function is $-3$.

Thus, the correct answer is $m = -3$.