Question

Write an equation of the line that is perpendicular to the line y = 1 3 x + 6 that passes through the point (2,-3). A) y = 3x + 9 B) y = -3x - 3 C) y = -3x + 3 D) y = 1 3 x + 9

Answer 1

Perpendicular or not, the only offered choice that goes through the given point is
  C) y = -3x + 3

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The x-coefficient of the given line is 1/3, so the x-coefficient of the perpendicular line will be its negative reciprocal: -1/(1/3) = -3. Choices B and C have the required slope, but choice B misses the required point.