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If the slope of the line y = 3x - 7 is -3, what is the slope of the line x = y + 2?

  1. -3

  2. -1/3

  3. 3

  4. 1/3

The correct answer is: 1/3

In the equation x = y + 2, y is isolated on one side and has a coefficient of 1. This means that the slope of the line is equal to the coefficient of y, which is 1. Therefore, the slope of the line x = y + 2 is 1. Option D, 1/3, is incorrect because it is the reciprocal of the given slope of -3. Option A, -3, is incorrect because it is the given slope for a different equation. Option C, 3, is incorrect because it is the reciprocal of the incorrect slope of -1/3. In summary, the slope of the line x = y + 2 is 1, as y is isolated with a coefficient of 1.