Line–line intersection

A line–line intersection is the point or set of points shared by two lines. In a plane, distinct nonparallel lines meet at one point, while parallel lines do not meet.

Linear equation: An equation whose graph is a line in two dimensions or a plane in three dimensions. Equating two line equations turns their intersection into a solvable system.
Euclidean plane: The flat two-dimensional space governed by Euclidean geometry. The one-point intersection rule applies to distinct nonparallel lines in this setting.
Line clipping: The process of restricting a line or segment to a specified viewing region. Clipping algorithms compute boundary intersections to keep only visible portions.
Segment intersection: The set of points shared by two finite straight segments. Unlike infinite lines, segments can fail to meet even when their supporting lines cross.
System of linear equations: A collection of linear equations whose shared solutions satisfy every equation. A solution to the two lines' equations gives their intersection coordinates.
Parallel lines: Coplanar straight lines that remain the same distance apart and never meet. They are the planar case in which two distinct lines have no intersection.
Ray tracing: A rendering method that traces light paths to determine visible surfaces and illumination. Ray–line and ray–surface intersection tests determine where simulated light paths hit geometry.
Line-circle intersection: The point or points shared by a line and a circle. It may yield zero, one, or two points, unlike distinct nonparallel planar lines.
Determinant: A scalar computed from a square matrix that reveals properties such as invertibility and signed area scaling. A nonzero determinant of direction or coefficient data signals a unique planar intersection.
Coincident lines: Two geometric lines occupying exactly the same set of points. Unlike a single-point crossing, coincident lines share infinitely many points.

Linked from 2 pages