# InfiniteLineThrough

InfiniteLineThrough[{p1,p2,}]

gives an infinite line passing through the points pi.

# Examples

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## Basic Examples(2)

An infinite line passing through three points:

Display the line:

RegionDistance from an infinite line to a point:

## Scope(2)

InfiniteLineThrough works on coordinates:

Multiple points:

Collections of points:

InfiniteLineThrough works with points in 1D:

2D:

D:

## Applications(3)

### Basic Applications(3)

Visualize the line passing through three points:

Find the implicit representation of the circle passing through three points:

Its parametric representation:

Find an InfiniteLine that best fits a set of points:

Best fit using RegionFit:

Compare:

## Properties & Relations(2)

InfiniteLineThrough returns an InfiniteLine object:

Use RegionFit to obtain an InfiniteLine that best fits a set of points:

Wolfram Research (2022), InfiniteLineThrough, Wolfram Language function, https://reference.wolfram.com/language/ref/InfiniteLineThrough.html.

#### Text

Wolfram Research (2022), InfiniteLineThrough, Wolfram Language function, https://reference.wolfram.com/language/ref/InfiniteLineThrough.html.

#### CMS

Wolfram Language. 2022. "InfiniteLineThrough." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/InfiniteLineThrough.html.

#### APA

Wolfram Language. (2022). InfiniteLineThrough. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/InfiniteLineThrough.html

#### BibTeX

@misc{reference.wolfram_2024_infinitelinethrough, author="Wolfram Research", title="{InfiniteLineThrough}", year="2022", howpublished="\url{https://reference.wolfram.com/language/ref/InfiniteLineThrough.html}", note=[Accessed: 15-September-2024 ]}

#### BibLaTeX

@online{reference.wolfram_2024_infinitelinethrough, organization={Wolfram Research}, title={InfiniteLineThrough}, year={2022}, url={https://reference.wolfram.com/language/ref/InfiniteLineThrough.html}, note=[Accessed: 15-September-2024 ]}