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Easy: Whole-number rates, table starts at x = 0
The rate of change m is the change in y divided by the change in x between two columns. The initial value b is y when x = 0: read it from the table, or work back from any column with b = y − m·x.
Write the rule y = mx + b. Give the rate of change and the initial value.
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Divide the change in y by the change in x between any two rows. If x goes up by 2 and y goes up by 6, the rate is 6 ÷ 2 = 3.
Work backward from a known row using the rate. If the rate is 3 and (2, 11) is in the table, then at x = 0, y = 11 − 2 × 3 = 5, so y = 3x + 5.
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