Analyzing Rate of Change: Determining Uniformity in a Horizontal Line Graph

The problem requires us to determine whether the rate of change in a given graph is uniform.

A uniform rate of change corresponds to a constant slope, which is characteristic of a linear graph. First, we'll examine the graphical representation.

Upon observing the graph, we see that it displays a straight horizontal line. A horizontal line on a graph indicates that for any two points $(x_1, y_1)$ and $(x_2, y_2)$, the difference in $y$-values is zero, i.e., $y_2 - y_1 = 0$. This implies that the slope, given by the formula $\frac{y_2 - y_1}{x_2 - x_1}$, is zero and remains constant as we move along the line.

Because the line is horizontal and does not change its slope throughout, the rate of change is indeed uniform across the entire graph.

Therefore, the rate of change is uniform.