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What is the equation of the line with slope -1/2 and passing through the point (-3, 4)?

  1. y = -1/2x + 4

  2. y = -1/2x + 3

  3. y = 1/2x + 3

  4. y = 1/2x - 7

The correct answer is: y = -1/2x + 4

In this equation, the slope represents the change in y over the change in x. Since the slope is negative, we know that the line is decreasing as we move from left to right. Option B is incorrect because the y-intercept should be 4, not 3. Option C is incorrect because the slope should be negative to represent a decreasing line. Option D is incorrect because the slope should be -1/2, not 1/2, to match the given slope. Therefore, option A is the correct answer.