Distance Between Two Lines Calculator
Enter the equations of both lines to get the distance between them, see the step-by-step solution, and their graph.
Result
The distance between line and line is:
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What Is the Distance Between Two Lines?
The distance between two lines in the plane is the measure of their minimum separation. When the lines are intersecting (they cross at a single point) or coincident (they are the same line), the distance between them is zero.
On the other hand, if the lines are parallel and non-coincident, the distance between them is the length of the perpendicular segment drawn from any point on one line to the other line, and it is a constant positive value.
Given two parallel lines in their general form: L1: Ax + By + C1 = 0 and L2: Ax + By + C2 = 0 where the coefficients A and B are identical, the distance between them is given by the following formula:
\(d(L_1, L_2)=\dfrac{|C_2-C_1|}{\sqrt{A^2+B^2}}\)
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