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What is the equation of a line whose slope is -3 and y-intercept is 6?

  1. y=3x

  2. y=-3x+6

  3. y=-3x

  4. y=3x+6

The correct answer is: y=3x+6

The equation y=-3x+6 represents the line whose slope is -3 and whose y-intercept is 6. The slope of a line is represented by the coefficient of x, and in this equation, it is -3. The y-intercept is the point where the line intersects with the y-axis, and in this equation, the y-intercept is 6. Option A (y=3x) has the incorrect slope, Option B (y=-3x+6) is the correct equation, Option C (y=-3x) does not have a y-intercept of 6, and Option D (y=3x+6) has the incorrect slope. Therefore, option D is the correct answer.