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Suppose the table has two columns, one for a variable X and the other for a variable Y.

Suppose

xi is associated with yi

for i = 2, 3, etc.

If, y1 - yj = k(x1 - xj) where k is the same constant for each index j, then the equation is linear.

If the values of X are evenly spaced, the task is easy. All you need check is that the values of Y are also evenly spaced. But the Xs may not be evenly spaced.

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Q: How can you tell from a table that an equation is linear?
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