distance from a point to a line

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(in the plane)

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

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

Subjects: Mathematics.

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