The graph that has a rate of change of zero is a horizontal line.
A horizontal line has a constant y-value for every x-value, meaning that there is no change in the y-coordinate as the x-coordinate changes. In other words, the slope of a horizontal line is zero.
For example, let's consider the equation y = 3. This equation represents a horizontal line passing through the y-axis at y = 3. No matter what the value of x is, the y-coordinate will always be 3. Therefore, the rate of change of y with respect to x is always zero.
Another example would be the equation y = -2. This equation represents a horizontal line passing through the y-axis at y = -2. Similar to the previous example, the y-coordinate remains constant at -2 regardless of the value of x. Hence, the rate of change of y with respect to x is zero in this case as well.