$\"\"$

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The point is $\"\"$ and the equation of line is $\"\"$ .

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Rewrite the equation $\"\"$ in the slope - intercept form by solving for y.

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Divide each side by 2.

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$\"\"$

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$\"\"$ .

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

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Therefore slope of given line is $\"\"$ .

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Because the slopes of perpendicular lines are negative reciprocals, the slope of perpendicular line through $\"\"$ is $\"\"$ . $\"\"$

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To find the y - intercept, substitute the values of $\"\"$ in the slope - intercept from of equation $\"\"$ and solve for b.

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$\"\"$

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$\"\"$

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Add 2 to each side.

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$\"\"$

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$\"\"$ .

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Substitute the values of $\"\"$ in the slope - intercept form of equation $\"\"$ . $\"\"$

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The equation of perpendicular line is $\"\"$ .