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

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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 1 for y₂)

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

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$\"\"$ (Add: 1 + 2 = 3) \ \

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

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Next find the y-intercept value by replacing m with $\"\"$ , y with 5 and x with $\"\"$ 2 in the equation $\"\"$ .

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$\"\"$

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$\"\"$ (Cancel common terms)

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Apply addition property of equality: If a = b then a + c = b + c.

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$\"\"$ (Add 3 to each side)

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$\"\"$ (Apply commutative property of addition: $\"\"$ )

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

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

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Replace m with $\"\"$ and b with 8 in the slope-intercept form line equation

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$\"\"$

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$\"\"$

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$\"\"$ (Simplify) $\"\"$

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