It the point is on the line the distance is 0.
If the point is not on the line, then it is possible to draw a unique line from the point to the line which is perpendicular to the line. The distance from the point to the line is the distance along this perpendicular to the line.
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A line that has a starting point and an end point.
Yes.
The distance is 0.
The shortest distance between two points is... a straight line.
The length of a line segment that starts at the point and is perpendicular to the original line.