Nov. 4 Distance Between A Point And A Line

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Nov. 4 Distance Between A Point And A Line

  1. 1. 1
  2. 2. Finding the Distance Between a point  and a Line To find the perpendicular distance (which is also the  shortest distance) between a point and a line. Where the point is P(x1, y1) and the equation of the line in standard form is Ax + By + C = 0 Ax1 + By1 + C The distance is   d =  A2 + B2 2
  3. 3. Example  Find the shortest distance between the point  P(1, 2)  and the line      5x + y ­ 1 = 0 3
  4. 4. Example  Find the shortest distance between (3, 4) and the line  2x ­ 5y = 7 4
  5. 5. For the lines x + 3y = 6 and x + 3y = 3 Find the a) Horizontal distance between the lines b) Vertical distance between the lines c) Shortest distance between the lines First, what is the slope of each of the lines and what does  this tell us about the lines? 5
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