Analyzing Rate of Change: Uniform Pattern in X-Y Coordinate Table

To determine if the rate of change is uniform, we will follow these steps:

• Step 1: Calculate the rate of change between each pair of consecutive points.
• Step 2: Compare these rates to determine if they are consistent.

Let's work through the calculations:

Step 1: Calculate the rates of change (slopes) between consecutive points.

From $(-2, 6)$ to $(0, 8)$: $\frac{8 - 6}{0 - (-2)} = \frac{2}{2} = 1.$

From $(0, 8)$ to $(2, 10)$: $\frac{10 - 8}{2 - 0} = \frac{2}{2} = 1.$

From $(2, 10)$ to $(4, 12)$: $\frac{12 - 10}{4 - 2} = \frac{2}{2} = 1.$

Step 2: Compare the rates.

All calculated rates are equal to 1, indicating that the rate of change is uniform.

Therefore, the solution to the problem is the rate of change is Uniform.