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

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The line equation in slope-intercept form is $\"\"$ , where m is the slope and b is the y-intercept.

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First find the slope (m).

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The slope formula is $\"\"$ .

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$\"\"$ (Replace $\"\"$ with 3, 3, 0 and 6)

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

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

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The slope of $\"\"$ . $\"\"$

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Parallel line has same slope.

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So, slope of the new line = $\"\"$ . $\"\"$

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Next find the y-intercept (b).

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

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$\"\"$ (Substitute –3, $\"\"$ for x, y)

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$\"\"$ (Product of two same signs is positive) $\"\"$

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Apply subtraction property of equality: If a = b than a – c = b – c.

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$\"\"$ (Subtract 3 from each side)

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Apply commutative property of addition: a + b = b + a.

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$\"\"$

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$\"\"$ (Apply Additive inverse 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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$\"\"$

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The equation in slope-intercept form is $\"\"$ .