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The equation y = -3x + 12 represents which kind of line?

  1. Horizontal

  2. Perpendicular

  3. Oblique

  4. Vertical

The correct answer is: Horizontal

The given equation is in slope-intercept form which is y = mx + b. A horizontal line is characterized by a slope of 0 and a y-intercept of 12. Since the given equation has a slope of -3 and a y-intercept of 12, it satisfies the requirements for a horizontal line. The other options can be eliminated based on their characteristics. A perpendicular line has a slope that is the negative reciprocal of the slope of the given equation. An oblique line has a slope that is neither 0 nor undefined, which does not match the slope of -3 in the given equation. A vertical line has an undefined slope and a constant x-coordinate, which is not present in the given equation. Therefore, the correct answer is A Horizontal.