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Distance of a point from a line

Question

Calculate the perpendicular distance of the following points to the line of 2y = 5x + 1.

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

Answer

  1. 2.600
  2. 0.186
  3. 2.971

Note:

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

d = |am + bn + c|/√(a2 + b2)

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