Search for a tool
Intersection Point

Tool for finding the intersection point(s) of 2 lines or curves by calculation from their respective equations (crossing in the 2D plane).

Results

Intersection Point -

Tag(s) : Functions

Share
Share
dCode and more

dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day!
A suggestion ? a feedback ? a bug ? an idea ? Write to dCode!


Please, check our dCode Discord community for help requests!
NB: for encrypted messages, test our automatic cipher identifier!


Thanks to your feedback and relevant comments, dCode has developed the best 'Intersection Point' tool, so feel free to write! Thank you!

Intersection Point

Find Intersection point of 2 lines





Find Intersection Point(s) of 2 Curves

Curves means any type of geometric function, lines included.





See also: Equation Solver

Answers to Questions (FAQ)

What is an intersection point? (Definition)

A point of intersection between 2 elements/drawings/graphs/curves in the 2D plane is the place of crossing/superposition of the 2 elements.

How to calculate the intersection point of 2 lines?

From the equations of the 2 lines of the 2D plane, it is possible to calculate the point of intersection (if it exists) by solving the corresponding system of equations. The values obtained (generally for $ x $ and $ y $) correspond to the coordinates $ (x, y) $ of the point of intersection.

Example: The lines of respective equations $ y = x + 2 $ and $ y = 4-x $ form the system of equations $ \begin{cases} y = x+2 \\ y = -x+4 \end{cases} $ which has for solution $ \begin{cases} x = 1 \\ y = 3 \end{cases} $ therefore the point of intersection of the 2 lines is the point of coordinates $ (1,3) $

If the equations of the lines are not known, dCode allows you to find the equations of a line from its slope coefficient, its y-intercept or only from 2 points (linear equation).

How to calculate the intersection point of 2 curves?

The calculation of the point (or points) of intersection of 2 curves requires solving the corresponding system of equations.

Example: The square function of equation $ y = x^2 $ and the horizontal line $ y = 1 $ allow to create the system of equations $ \begin{cases} y = x^2 \\ y = 1 \end{cases} $ which has 2 solutions $ \begin{cases} x = 1 \\ y = 1 \end{cases} $ and $ \begin{cases} x = -1 \\ y = 1 \end{cases} $ and therefore the square function has 2 points of intersection with the horizontal line at the coordinate points $ (x,y) $: $ (-1,1) $ and $ (1,1) $

Source code

dCode retains ownership of the online 'Intersection Point' tool source code. Except explicit open source licence (indicated CC / Creative Commons / free), any 'Intersection Point' algorithm, applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any 'Intersection Point' function (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) and no data download, script, copy-paste, or API access for 'Intersection Point' will be for free, same for offline use on PC, tablet, iPhone or Android ! dCode is free and online.

Need Help ?

Please, check our dCode Discord community for help requests!
NB: for encrypted messages, test our automatic cipher identifier!

Questions / Comments

Thanks to your feedback and relevant comments, dCode has developed the best 'Intersection Point' tool, so feel free to write! Thank you!


Source : https://www.dcode.fr/intersection-point
© 2021 dCode — The ultimate 'toolkit' to solve every games / riddles / geocaching / CTF.
Feedback