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Find the slope of the line 2x + 3y = 12

  1. 6

  2. -2

  3. 2

  4. -6

The correct answer is: 2

To find the slope of a line in the form of Ax + By = C, we need to rearrange the equation to solve for y, giving us y = (-A/B)x + (C/B). In this case, 2x + 3y = 12 can be rewritten as 3y = -2x + 12, and then y = (-2/3)x + 4. The slope of this line is therefore -2/3, making it the best approximation among the given options. Option B is incorrect because it does not take into account the coefficient of x. Options A and D are incorrect because they do not take into account the negative sign.