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Point P (−2, 7) is located on what line?

  1. x = 2

  2. y = 2

  3. y = 7

  4. x = -2

The correct answer is: x = 2

The point P(-2, 7) lies on the vertical line x = -2. Option A is the only option that includes the correct x-coordinate of -2. Option B, y = 2 would result in a point (2, 7) which is not the given point. Option C, y = 7 would also result in a different point (2, 7) on the x-axis. Option D, x = -2, is the equation for the line itself rather than a point on the line. Therefore, the correct answer is A.