$\"\"$

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

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and b is the y-intercept.

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

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

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

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

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Next find the slope of the line.

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Compare the equation with slope-intercept form and find the slope of the line.

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Slope of the line $\"\"$ . $\"\"$

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If two lines are perpendicular, the slope (m₁) of one line is opposite

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reciprocal of the second line slope (m₂). It can be represented as, $\"\"$ .

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So, slope of the line perpendicular to given line is $\"\"$

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

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Substitute $\"\"$ = $\"\"$ and $\"\"$ in the point-slope form equation

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$\"\"$

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

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

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$\"\"$ (Apply distributive property: $\"\"$ )

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

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

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

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

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

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

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