Fill in the blanks to make the table below coordinates of a Linear Function.

x y
0 5
1 9
2 13
3 __

17

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To fill in the blank in the table to make it coordinates of a linear function, we need to find the pattern or relationship between the x-values and y-values.

A linear function has a constant rate of change, meaning that the difference in y-values between any two points is the same.

Let's find the rate of change for this table by looking at the differences in y-values between consecutive points:

From (0, 5) to (1, 9), the change in y is 9 - 5 = 4.
From (1, 9) to (2, 13), the change in y is 13 - 9 = 4.

Since the difference in y-values is constant, we can conclude that the rate of change is 4.

To find the missing y-value for x = 3, we can apply the same rate of change:

From (2, 13) to (3, ?), the change in y would be 4.

Therefore, to fill in the blank, the missing y-value is 13 + 4 = 17.

The completed table will be:

x y
0 5
1 9
2 13
3 17