$\"\"$ $\"\"$

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Compare the equation $\"\"$ with Slope-intercept form line equation $\"\"$ .

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The slope of the given line is $\"\"$ .

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Since the slopes of parallel lines are same.

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The slope of the parallel line is $\"\"$ $\"\"$

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Find the y-intercept value by replacing the slope with $\"\"$ and (x, y) with ordered pair (4, 6)

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$\"\"$ (Substitute $\"\"$ for m)

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$\"\"$ (Substitute 4, 6 for x and y)

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$\"\"$ (Multiply: $\"\"$ ) $\"\"$

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Apply subtraction property of equality: If a = b than a $\"\"$ c = b $\"\"$ c.

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$\"\"$ (Subtract $\"\"$ from each side)

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Apply commutative property of addition: $\"\"$ .

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$\"\"$

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

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$\"\"$ (Apply Additive identity property: $\"\"$ )

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$\"\"$ (Subtract: $\"\"$ ) $\"\"$

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Substitute $\"\"$ for m and $\"\"$ for b in the Slope-intercept form equation.

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$\"\"$ $\"\"$

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The parallel line equation is $\"\"$ .