Question

Proof that perpendicular is shortest distance between line and point

Answer 1

The distance between a point and a line, is defined as the shortest distance between a fixed point and any point on the line. It is the length of the line segment that is perpendicular to the line and passes through the point. The distance d from a point (x0,y0) to the line ax+by+c=0 is d

Answer 2

The distance between a point and a line, is defined as the shortest distance between a fixed point and any point on the line. It is the length of the line segment that is perpendicular to the line and passes through the point. The distance d from a point (x0,y0) to the line ax+by+c=0 is d=