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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 $\"\"$ 1 for x₁, 3 for y₁, 2 for x₂ and $\"\"$ 3 for y₂)

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

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

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

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

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Next find the y-intercept value by replacing m with $\"\"$ 2, y with 3 and x with $\"\"$ 1

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in the equation $\"\"$ .

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$\"\"$

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

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$\"\"$ (Subtract 2 from each side)

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

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

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

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Replace m with –2 and b with 1 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 $\"\"$ .