Engineering Board Exam Reviewer · Equations of Lines · medium

Find the equation of the line through point (3,1) and is perpendicular to the line x+5y+5=0.

  1. 5x-2y=14
  2. 5x-y=14
  3. 2x-5y=14
  4. 2x+5y=14

Answer

B. 5x-y=14

Solution

x+5y+5=0 has slope -1/5, so the perpendicular slope is 5. Line thru (3,1): y-1=5(x-3), giving 5x-y=14.

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