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

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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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Slope formulae is $\"\"$

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$\"\"$ (Replace $\"\"$ with -3, 5, 2 and 2)

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

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

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$\"\"$ (Add: $\"\"$ )

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Slope is $\"\"$ $\"\"$

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Next find the y-intercept (b).

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

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$\"\"$ (Substitute 2, 2 for x and y)

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

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

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$\"\"$ (Apply Commutative property: $\"\"$ )

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

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

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$\"\"$ (Add: $\"\"$ ) $\"\"$

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