$\"\"$

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The slope m of a non vertical line through any two points is given by,

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$\"\"$

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$\"\"$ (Substitute $\"\"$ )

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

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

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$\"\"$ (Divide: $\"\"$ )

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Slope $\"\"$ . $\"\"$

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The line equation in point-slope form is $\"\"$ ,

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where m is the slope and where $\"\"$ is a given point on a nonvertical line.

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Substitute m = $\"\"$ , x₁ = 3 and y₁ = 5 in point-slope form equation.

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$\"\"$

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Distribute terms using distributive property: a(b $\"\"$ c) = ab $\"\"$ bc. \ \

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$\"\"$

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

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$\"\"$

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Apply addition property equality: Add 5 to each side.

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$\"\"$

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

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

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

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$\"\"$

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The line equation is $\"\"$ .