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

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Standard form line equation is $\"\"$ , where A, B and C are integers.

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Rewrite the equation so that variables are on the same side and constants

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are on the other side of the equation.

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Original equation is $\"\"$

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

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

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According to addition property of equality: Add 5 to each side.

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$\"\"$

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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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According to subtraction property of equality: Subtract $\"\"$ from each side.

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$\"\"$

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$\"\"$ (Commutative property of addition: $\"\"$ )

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

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

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Rewrite the equation in standard form

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

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In standard form line equation x coefficient $\"\"$ is always greater than or equal to zero. So, equation can write in standard form by multiplying the equation by negative one.

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$\"\"$

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

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