$\"slope$ $\"\"$

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Given points are $\"\"$

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Next, find the slope.

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$\"\"$

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Substitute 16 for y₂, 8 for y₁, $\"\"$ 4 for x₂, and 2 for x₁ in slope formula.

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$\"\"$ \ \

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

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

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$\"\"$ (Simplify) \ \

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

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You know the slope and a point on the line, so use point - slope form $\"\"$

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with either given point to write in standard form Ax + By = C.

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Choose $\"\"$

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$\"\"$ (Substitute $\"\"$ 7 for y₁, $\"\"$ 6 for x₁ and $\"\"$ ) \ \

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$\"\"$ (Multiply each side by 5)

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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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$\"\"$ (Add 24to each side)

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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 $\"\"$ = $\"\"$ 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 $\"\"$ .