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What is the slope of the line y = 6x + 3?

  1. 5/6

  2. 6/5

  3. -5/6

  4. 6

The correct answer is: 6

The slope of a line is defined as the change in y-coordinates divided by the change in x-coordinates. In the equation y = 6x + 3, the coefficient in front of the x term is 6. This means that for every 1 unit change in x, there will be a corresponding change of 6 units in y. Therefore, the slope of this line is 6. Option A, 5/6, is incorrect because it is inverted. It represents the change in x-coordinates divided by the change in y-coordinates, which would give the slope of the perpendicular line instead. Option B, 6/5, is also incorrect because it is a different fraction than the one in the equation. The equation uses the coefficient 6, not the constant term 5. Option C, -5/6, is incorrect because it is