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Find the equation of the line which passes through (2,3) and is perpendicular to the line 3x + 4y = 8.

  1. y + x = 5

  2. y - x = 5

  3. y = -3x - 4

  4. y = 3x - 4

The correct answer is: y - x = 5

A and D are both incorrect because they have a slope of 1/3, which is the same slope as the given line. This means they are not perpendicular to the given line. Option C is also incorrect since it has the same slope as the given line and would result in parallel lines. The correct answer is B because it has a slope of -1/3, which is the negative reciprocal of the given line's slope, making it perpendicular to the given line. Additionally, B satisfies the given point (2,3) as shown by the equation y - x = 5 3 - 2 = 5.