Distance from a Point to a Line Calculator

Enter the coordinates of the point and the equation of the line to get the distance, the step-by-step solution, and the Cartesian graph.

Point Coordinates
( , )
Equation of the Line
x + y + = 0

Result

The distance between the point and the line is:

Quick Examples

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What Is the Distance from a Point to a Line?

In analytic geometry, the distance from a point to a line is the length of the perpendicular line segment connecting that point to the line. The general formula to calculate the distance d from a point P(x0, y0) to a line L expressed in its general form, Ax + By + C = 0, is:

\(d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^{2}+B^{2}}}\)

Graph of the minimum distance from a point to a line with its general formula

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Daniel Machado

Professor of Mathematics, graduated from the Faculty of Exact, Chemical and Natural Sciences of the National University of Misiones (UNAM). Developer and creator of RigelUp, dedicated to building tools for mathematical learning.

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