$\"\"$

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The equations of perpendicular lines are $\"\"$ .

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Write the equation 1: $\"\"$ in slope - intercept form or $\"\"$ where m is slope and b is y - intercept.

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Subtract ax from each side.

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$\"\"$

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$\"\"$

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$\"\"$

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Divide each side by 3.

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$\"\"$

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Cancel common terms.

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$\"\"$ .

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

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Write the equation 2: $\"\"$ in slope - intercept form or $\"\"$ where m is slope and b is y - intercept.

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Subtract 3x from each side.

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$\"\"$

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$\"\"$

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$\"\"$ .

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

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The lines are are perpendicular if and only if $\"\"$ .

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Substitute the values of $\"\"$ in the above formula.

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$\"\"$

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$\"\"$

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Multiply each side by negative 3.

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$\"\"$

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$\"\"$ . $\"\"$

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The value of $\"\"$ .