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What is the slope of a line perpendicular to the line that has a slope of -1/4?

  1. 4

  2. 1/4

  3. -1

  4. -4

The correct answer is: -4

A 4 is incorrect because the slope of a line perpendicular to a line with a slope of -1/4 is the reciprocal of the original slope, which is 4. B: 1/4 is incorrect because the slope of a line perpendicular to a line with a slope of -1/4 is the negative reciprocal of the original slope, which is -4. C: -1 is incorrect because it is the same value as the original slope and not the negative reciprocal. D: -4 is correct because it is the negative reciprocal of -1/4.