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单词 distance from a point to a line(in the plane)
释义
distance from a point to a line(in the plane)

Mathematics
  • The distance from the point P to the line l is the shortest distance between P and a point on l. It is equal to |PN|, where N is the point on l such that the line PN is perpendicular to l. If P has coordinates (x1,y1) and l has equation ax + by + c = 0, then the distance from P to l is equal to

    |ax1+by1+c|a2+b2,

    where |ax1 + by1 + c| is the absolute value of ax1 + by1 + c.


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