$\"\"$

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Rectangle ABCD with vertices are $\"\"$ and $\"\"$ .

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Write an equation of a line perpendicular to diagonal $\"\"$ that contains A.

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The line passes through the points are $\"\"$ and $\"\"$ .

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Find the slope.

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$\"\"$ .

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$\"\"$ (Formula for slope)

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

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$\"\"$ (Multiply)

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$\"\"$ (Simplify)

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Therefore, the slope is $\"\"$ .

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Slope of the line perpendicular to the diagonal $\"\"$ is $\"\"$ .

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$\"\"$

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The line passes through the point is $\"\"$ and $\"\"$ .

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Point slope-intercept form of the equation of a line is $\"\"$ .

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Find the point slope line equation.

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$\"\"$ (Formula for Point-slope)

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

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$\"\"$ (Distributive property: $\"\"$ )

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

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

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Therefore, the slope intercept form of the perpendicular line eqaution is $\"\"$ .

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$\"\"$

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The perpendicular line eqaution is $\"\"$ .