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What is the slope of the line perpendicular to the line y = 3x - 2?

  1. 3

  2. −3

  3. 1/3

  4. −1/3

The correct answer is: −1/3

The slope of the line perpendicular to the line y=3x-2 is the negative reciprocal of the slope of the given line. So, the slope would be -1/3. Option A 3 is incorrect because it is the slope of the given line, not its perpendicular line. Option B: -3 is incorrect because it is the negative of the slope of the given line, not its negative reciprocal. Option C: 1/3 is incorrect because it is the reciprocal of the slope of the given line, not its negative reciprocal.