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

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Given point is $\"\"$ and slope(m) = $\"\"$ .

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Because you know the slope and a point on the line,

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Use point - slope form $\"\"$ to write an equation of the line.

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Let $\"\"$ = $\"\"$ and slope(m) = $\"\"$ .

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$\"\"$ (Substitute $\"\"$ 7 for $\"\"$ ,4 for $\"\"$ and m = $\"\"$ ) $\"\"$

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Rewrite in standard form Ax + By = C.

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

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$\"\"$ (Multiply each side by 2)

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$\"\"$ (Cancel common terms) $\"\"$

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

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

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

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

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$\"\"$ (Add 3xto 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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$\"\"$ (Subtract 14 from each side)

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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 $\"\"$ = $\"\"$ in equation $\"\"$ .

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$\"\"$

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

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

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The equation satisfies the condition.

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So,The standard form equation is $\"\"$ . $\"\"$

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The standard form equation is $\"\"$ .

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