The ordered pairs (0, -2), (1, 1), (2, 4), (3, 7), and (4, 10) represent a function. what is a rule that represents this function?

Step-by-step explanation:

The given ordered pairs represents a linear function.

You can get this answer by observing the pattern between coordinates. You can observe, while x-values increases by one, y-values increases by 3. So, this can be expresses as a ratio of change

This ratio of change represents the slope of the linear function that models this set of ordered pairs. The ratio is

This means, the slope of the linear graph is 3.

Now, we use this slope and one point to find the exact relation that models this problem

Therefore, the rule that represents this function is