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Which of the following pairs of lines are perpendicular?

  1. y = 2x and y = -1/2x

  2. y = -2x and y = 2x

  3. y = 1/2x and y = -2x

  4. y = 2x and y = 4x

The correct answer is: y = 1/2x and y = -2x

Perpendicular lines have slopes that are negative reciprocals of each other. In options A and B, the slopes are the same, therefore they cannot be perpendicular. In option D, the slopes are both positive, so they also cannot be perpendicular. The correct answer, option C, has a slope of -2 for the first line and a slope of 1/2 for the second line, which are indeed negative reciprocals and meet the criteria for perpendicular lines.