Fill in the missing number to complete the linear equation that gives the rule for this table.

x y
5 3
6 4
7 5
8 6

y = x −

y = x - 2

Yeah, y = x - 2.

The key is subtract one each time.

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To find the missing number and complete the linear equation, we need to observe the pattern in the table.

Looking at the values of x and y, we can see that as x increases by 1, y also increases by 1. This tells us that the relationship between x and y is a linear one, with a constant rate of change.

To determine the constant rate of change, we can subtract the y-values of consecutive pairs of points. For example, by subtracting 3 from 4, we get 1. Similarly, subtracting 4 from 5 gives us 1, and subtracting 5 from 6 gives us 1 again. This tells us that the constant rate of change is 1.

The linear equation that represents this relationship between x and y is y = x - 1. The missing number to complete the equation is 1.