$\"\"$

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The line equation in slope-intercept form is $\"\"$ , where m is the slope and b is the y-intercept. \ \

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If two lines are perpendicular, the slope (m₁) of one line is opposite reciprocal of the second line slope (m₂). It can be represented as, $\"\"$ .

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The slope of the line $\"\"$ is $\"\"$ .

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So the line perpendicular to above equation has the slope -2. $\"\"$

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Substitute (x₁, y₁) = ( 1,-3) and $\"\"$ in the point-slope form equation

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$\"\"$

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$\"\"$ (Substitute (x₁, y₁) and m values)

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

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$\"\"$ (Apply distributive property: a(b + c) = ab + ac))

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$\"\"$

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$\"\"$ (Subtract 3 from each side)

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

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$\"\"$ (Additive identity property: $\"\"$ )

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

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$\"\"$

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

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