An InfiniteLine in 2D:

And in 3D:

Different styles applied to an infinite line:

Test point membership in an infinite line:

Create parallel lines aligned to :

Illustrate asymptotes:

Convert the intercept form of a line to an InfiniteLine:

Visualize lines:

Convert the point slope form of a line to an InfiniteLine:

Visualize lines:

Convert the slope intercept form of a line to an InfiniteLine:

Visualize lines:

Convert the two-point form of a line to an InfiniteLine:

Visualize lines:

Convert the parametric form of a line to an InfiniteLine:

Visualize lines:

The tangent line to a parametric curve f[u] is given by InfiniteLine[f[u],f'[u]]. Find the tangent line to the parametric curve :

Find the tangent line for the parametric curve :

Find the intersection of InfiniteLine[{0,0},{1,1}] and InfiniteLine[{{0,1},{1,0}}]:

Plot it:

Find the intersections of InfiniteLine[{0,0},{1,1}] and Circle[{0,0},1]:

Plot it:

Find all pairwise intersections between five random lines:

Use BooleanCountingFunction to express that exactly two conditions are true:

Plot it:

Find the intersection of InfiniteLine[{{-1,1,1},{1,1,1}}] and InfinitePlane[{{2,0,0},{0,2,0},{0,0,2}}]:

Plot it:

Find the intersections of InfiniteLine[{{-1,1,1},{1,1,1}}] and Sphere[{0,0,0},3]:

Plot it:

Find the intersections of InfiniteLine[{{-1,1/3,1/2},{1,1/3,1/2}}] and the boundary of Tetrahedron[{{0,0,0},{1,0,0},{0,1,0},{0,0,1}}]:

Plot it:

Indicate Mean on a Histogram:

Visualize the axis of rotation for RotationTransform:

Find the altitude of a triangle:

Visualize altitude in red:

InfiniteLine[{p₁,p₂}] is equivalent to InfiniteLine[p₁,p₂-p₁]:

InfiniteLine[p,v] is equivalent to Hyperplane[Cross[v],p] in 2D:

ParametricRegion can represent any InfiniteLine:

ImplicitRegion can represent any InfiniteLine:

InfiniteLine is a special case of ConicHullRegion:

A random collection of lines:

Organized collection of lines: