Search for a tool
X-Intercept

Tool for calculating the x-intercept (intercept with the x-axis) from of a function, or line from at least 2 points or from 1 point and the slope coefficient.

Results

X-Intercept -

Tag(s) : Geometry, 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!


Feedback and suggestions are welcome so that dCode offers the best 'X-Intercept' tool for free! Thank you!

X-Intercept

X-Intercept Calculator

From function expression


From 2 points (only linear/affine)





See also: Linear Equation

From Slope coefficient and 1 point




Y-Intercept Calculator

⮞ Go to: Y-Intercept

Slope coefficient calculator

Answers to Questions (FAQ)

What is the x-intercept? (Definition)

The x-intercept is the name given to the intersection point(s) of the function/line with the x-axis (abscissa) for the ordinate value $ y = 0 $ (origin).

It is also the distance between the origin of the coordinate system (the coordinate point $ (0,0) $) and the point of intersection of the line/curve with the abscissa axis.

How to calculate the x intercept?

With the equation

For any function (not necessarily affine/linear), calculating the x intercept is calculating the value for $ y = 0 $ or $ f(x) = 0 $. The value(s) obtained is/are the x-intercept(s).

Example: A curve of equation $ y=x^2-1 $, with $ y = 0 $ is solved $ x = 1 $ or $ x = -1 $, so there are 2 x-intercepts (called the roots of the polynomial)

For an equation of a line (in the 2D plane), the equation has the form $ y = a x + b $, finding $ y = 0 $ is solving $ a x + b = 0 $ so $ x = -b/a $

Example: A line of equation 2x-1 has for y-intercept 1/2

With 2 points (line only)

Knowing 2 points belonging to the line, it is possible to find its equation (see the linear equation calculator) in order to deduce the x-intercept (see above)

With the slope coefficient and 1 point (line only)

Knowing the slope coefficient of a line and one of the points belonging to it, it is possible to calculate the equation of this line (see the page on the calculation of linear equations) and therefore, with this equation, deduce the x-intercept (see above).

What is the difference between x-intercept and y-intercept?

The x-intercept and the y-intercept are not the same thing.

The abscissa at the origin represents the point(s) of intersection of the value curve with the abscissa (x axis).

The ordinate at the origin represents the point of intersection of the curve with the ordinate (y axis).

Can there be several x-intercepts for the same function?

Yes, there can be multiple values (or even an infinity), and there can also be none (not all functions necessarily cross the x-axis).

Source code

dCode retains ownership of the "X-Intercept" source code. Except explicit open source licence (indicated Creative Commons / free), the "X-Intercept" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, breaker, translator), or the "X-Intercept" functions (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) and all data download, script, or API access for "X-Intercept" are not public, same for offline use on PC, mobile, tablet, iPhone or Android app!
Reminder : dCode is free to use.

Cite dCode

The copy-paste of the page "X-Intercept" or any of its results, is allowed (even for commercial purposes) as long as you credit dCode!
Exporting results as a .csv or .txt file is free by clicking on the export icon
Cite as source (bibliography):
X-Intercept on dCode.fr [online website], retrieved on 2024-12-04, https://www.dcode.fr/x-intercept

Need Help ?

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

Questions / Comments

Feedback and suggestions are welcome so that dCode offers the best 'X-Intercept' tool for free! Thank you!


https://www.dcode.fr/x-intercept
© 2024 dCode — The ultimate 'toolkit' to solve every games / riddles / geocaching / CTF.
 
Feedback