Search for a tool
Y-Intercept

Tool for calculating the y-intercept of a line from 2 points or from 1 point and the slope coefficient. Calculation of the intercept of the line with the y-axis.

Results

Y-Intercept -

Tag(s) : Geometry, Functions

Share
dCode and you

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!

Team dCode likes feedback and relevant comments; to get an answer give an email (not published). It is thanks to you that dCode has the best Y-Intercept tool. Thank you.

# Y-Intercept

## Y-Intercept Calculator

### From Slope coefficient and 1 point

Tool for calculating the y-intercept of a line from 2 points or from 1 point and the slope coefficient. Calculation of the intercept of the line with the y-axis.

### What is the y-intercept? (Definition)

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

### How to calculate the y intercept?

From the equation

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

Example: A curve of equation $$3x ^ 2 + 1$$, with $$x = 0$$ is $$3 \times 0^2 + 1 = 1$$, so 1 is the y-intercept

For an equation of a line of the plane, the equation has the form $$a x + b$$ with $$b$$ the y-intercept.

Example: A line of equation 3x+4 has 4 as y-intercept

From 2 points (line only)

With 2 points, can be calculated the equation of the line (see the linear equation calculator) and thus to deduce the y-intercept (see above)

From the slope coefficient and 1 point (line only)

Knowing the slope coefficient of a line and a point, can be deduced the equation of the line (see the linear equation calculation) and thus deduce the y-intercept (see above).

## Source code

dCode retains ownership of the source code of the script Y-Intercept online. Except explicit open source licence (indicated Creative Commons / free), any algorithm, applet, snippet, software (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt, encrypt, decipher, cipher, decode, code, translate) written in any informatic langauge (PHP, Java, C#, Python, Javascript, Matlab, etc.) which dCode owns rights will not be released for free. To download the online Y-Intercept script for offline use on PC, iPhone or Android, ask for price quote on contact page !