$\"\"$

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Observe the table:

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The ordered pair are $\"\"$ .

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Find the first differences of $\"\"$ -values in the ordered pair.

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$\"\"$

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$\"\"$

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$\"\"$

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Since the first differences are all equal .

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Hence the table of values are represent a linear function.

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$\"\"$

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Write an equation for the function:

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The equation has the form of linear function is $\"\"$ .

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The constant difference is $\"\"$ .

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Therefore the linear equation is $\"\"$ .

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Find the value of $\"\"$ .

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Let,the ordered pair is $\"\"$ .

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$\"\"$ (Formula for equation)

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$\"\"$ (Substitute $\"\"$ and $\"\"$ in the formula)

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$\"\"$ (Multiply)

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$\"\"$ (Add $\"\"$ to each side)

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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Write an equation.

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$\"\"$ (Substitute $\"\"$ and $\"\"$ in the formula)

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$\"\"$

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An equation that models the data is $\"\"$ .

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$\"\"$

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The table of values represents a linear function $\"\"$ .