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What is the equation of the line passing through the point (2, 1) and parallel to 4y = 3x − 2?

  1. y = 3/2x + 5

  2. y = 3/2x + 4

  3. y = 4/3x + 7

  4. y = 4/3x + 2

The correct answer is: y = 4/3x + 2

A and B are incorrect because they do not have a slope of 4/3, which is necessary for a line parallel to 4y = 3x - 2. C is incorrect because it does not pass through the given point (2, 1). The point-slope form of a line with slope m passing through point (x1, y1) is y - y1 = m(x - x1). Therefore, the equation of the line passing through (2, 1) with a slope of 4/3 would be y - 1 = 4/3(x - 2), which simplifies to y = 4/3x + 2.