Answer:
[tex] \frac{y}{x} = m = \tan( \theta) \\ \boxed{y = \tan( \theta) x} \\ \boxed{y = mx}[/tex]
where, m and tan∅ is the slope of the line
Here, the rate of change for line y = -3x is the slope of the given line
Comparing the above equation with y = -3x, we get
[tex] \tan( \theta) = - 3 \\ m = - 3 \\ \boxed{\frac{y}{x} = - 3}[/tex]
Therefore, -3 is the rate of change for y = -3x
