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Which of the following is the equation of the vertical line x = -2?

  1. x + 2 = 0

  2. y + 2 = 0

  3. x - 2 = 0

  4. y - 2 = 0

The correct answer is: x - 2 = 0

A and B are incorrect because they are not equations of a vertical line. Instead, they are equations of horizontal lines. A has a slope of -1 and y-intercept of -2, while B has a slope of 1 and y-intercept of -2, which means they both have a zero slope. D is also incorrect because it is the equation of a horizontal line with a slope of 0 and y-intercept of 2, which means it is not parallel to the x-axis like the given equation. The equation of a vertical line is always x = a, where a is a constant. Therefore, only C is the equation of a vertical line with x = -2. This means that on a graph, the line would be a straight, vertical line passing through the point (-2, x) for all values of x.