Question

what is the rate of change of the following equation? y = -3

Explanation:

Step1: Recognize the equation type

The equation \( y = -3 \) is a horizontal line (since for all \( x \)-values, \( y \) is always -3).

Step2: Recall the slope (rate of change) of a horizontal line

The slope (rate of change) of a horizontal line is \( 0 \), because the change in \( y \) (\( \Delta y \)) is \( 0 \) for any change in \( x \) (\( \Delta x \)), and slope is \( \frac{\Delta y}{\Delta x}=\frac{0}{\Delta x} = 0 \) (where \( \Delta x
eq0 \)).

Answer:

\( 0 \)