$\"\"$

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From the table, the two points are $\"\"$ .

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Substitute the values of $\"\"$ in the slope formula $\"\"$ .

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$\"\"$ .

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Substitute the values of $\"\"$ in the point - slope form of the equation $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Add 16 to each side.

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$\"\"$

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$\"\"$ .

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The linear equation is $\"\"$ . $\"\"$

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To check the equation, substitute the all values for x in the equation $\"\"$ to obtain random y - values of table.

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If $\"\"$ then $\"\"$ (This is true statement).

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If $\"\"$ then $\"\"$ (This is true statement).

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If $\"\"$ then $\"\"$ (This is true statement).

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If $\"\"$ then $\"\"$ (This is true statement).

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If $\"\"$ then $\"\"$ (This is true statement).

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The equation is true for all values of x and y. Therefore the table represents the linear equation. $\"\"$

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Yes, the table represents the linear equation and the point - slope form of the equation is $\"\"$ .