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Distance of a point from a line

Distance of a point from a line (Question)

Find the perpendicular distance of the following points to the line of y = 3x + 1.

  1. (3,4)
  2. (5,1)
  3. (2,0)

Guide:

Given with a line of ax + by + c = 0 and a point located at (m,n). The perpendicular distance of the point from the line can be calculated by using the formula below.

d = |am + bn + c|/√(a2 + b2)

 

Distance of a point from a line (Answer)

  1. 1.897
  2. 4.743
  3. 2.214

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