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Shows how to find the perpendicular distance from a point to a line, and a proof of the formula.
The distance (or perpendicular distance) from a point to a line is the shortest distance from a fixed point to any point on a fixed infinite line in Euclidean geometry. It is the length of the line segment which joins the point to the line and is perpendicular to the line.
The distance of a point from a line is the shortest distance between the line and the point. Learn how to derive the formula for the perpendicular distance of a point from a given line with help of solved examples.
The distance between a point \(P\) and a line \(L\) is the shortest distance between \(P\) and \(L\); it is the minimum length required to move from point \( P \) to a point on \( L \). In fact, this path of minimum length can be shown to be a line segment perpendicular to \( L \).
On this page, we'll derive the formula for distance between a line and a point, given the equation of the line and the coordinates of the point. First of all, I don't mean something like this: The distance must be perpendicularly to the line, like this:
The distance of a point from a line is the shortest distance between the line and the point. Learn how to derive the formula for the perpendicular distance of a point from a given line with help of solved examples.
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.