Engineering Board Exam Reviewer · Equations of Lines · medium

Find the equation of the line through (1,5) that is perpendicular to 2x-3y+6=0.

  1. 2 x - 3 y + 13 = 0
  2. 3 x - 2 y + 7 = 0
  3. 2 x + 3 y - 17 = 0
  4. 3 x + 2 y - 13 = 0

Answer

D. 3 x + 2 y - 13 = 0

Solution

The given line has slope 23, so the perpendicular slope is - 32. y-5=- 32(x-1) 3x+2y-13=0.

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