Common Difference F043D2

1. **State the problem:** We are given a table of values for a function:\n\n| x | y |\n|---|---|\n| 1 | 4 |\n| 2 | 6 |\n| 3 | 8 |\n| 4 | 10|\n\nWe need to determine the common difference in the y-values to confirm if the function is linear.\n\n2. **Recall the rule for linear functions:** A function is linear if the change in y (output) values is constant for equal increments in x (input) values. This constant change is called the common difference or slope.\n\n3. **Calculate the differences between consecutive y-values:**\n$$6 - 4 = 2$$\n$$8 - 6 = 2$$\n$$10 - 8 = 2$$\n\n4. **Interpretation:** Since the difference between each consecutive y-value is the same ($2$), the function has a constant rate of change.\n\n5. **Conclusion:** The common difference of the y-values is $2$, confirming the function is linear with slope $2$.