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$\"\"$

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The line equation in slope-intercept form is $\"\"$ , where m is

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the slope and b is the y-intercept.

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First find the slope of the line.

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$\"\"$

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$\"\"$ (Substitute 5 for x₁, 2 for y₁, $\"\"$ 7 for x₂ and $\"\"$ 4 for y₂)

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$\"\"$ (Simplify)

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$\"\"$

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$\"\"$

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Substitute $\"\"$ and x₁= 5 and y₁ = 2 in point-slope formula

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$\"\"$

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$\"\"$

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$\"\"$ (Apply distributive property)

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$\"\"$ (Add 2 to each side)

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$\"\"$ (Additive inverse proeprty: $\"\"$ )

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

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$\"\"$

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

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