Search for a tool
Linear Equation

Tool to calculate a right equation from 2 points. The equation of a line is written ax + b with a, the direction coefficient (or slope) and b, the y-intercept.

Results

Linear Equation -

Tag(s) : Geometry, Functions

dCode and you

dCode is free and its tools are a valuable help in games, puzzles and problems to solve every day!
You have a problem, an idea for a project, a specific need and dCode can not (yet) help you? You need custom development? Contact-me!


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 Linear Equation tool. Thank you.

Linear Equation

Sponsored ads

Linear Equation Calculator





Tool to calculate a right equation from 2 points. The equation of a line is written ax + b with a, the direction coefficient (or slope) and b, the y-intercept.

Answers to Questions

How to calculate the equations of a line?

A line of the plane (2D) has an equation of the form \( a x + b \), with \( a \) its slope coefficient and \( b \) the y-intercept.

Knowing the slope coefficient and the ordinate at the origin, is deduced the equation of the line.

Example: A line of slope coefficient 2 and intercept 3 has the equation \( 2x + 3 \)

How to calculate slope coefficient?

From 2 points \( A(x_A, y_A) \) and \( B(x_B, y_B) \), the formula for the slope coefficient of the line or segment passing through the points A and B is the result of the fraction: $$ \ frac {y2-y1} {x2-x1} $$

Example: A line passes through 2 points A(1,2) and B(3,4), the slope coefficient is \( \frac{4-2}{3-1} = \frac{2}{2} = 1 \)

How to calculate the y intercept?

From the slope coefficient \( a \) and a point \( A(x_A, y_A) \), the computation formula of the y-intercept is the result \( b \) of the equation $$ a x_A + b = y_A $$

Example: A line with slope coefficient \( 3 \) goes through A(2,4), so \( 3 \times 2 + b = 4 \iff b = -2 \), so the y intercept is -2

Ask a new question

Source code

dCode retains ownership of the source code of the script Linear Equation 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 given for free. To download the online Linear Equation script for offline use on PC, iPhone or Android, ask for price quote on contact page !

Questions / Comments


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 Linear Equation tool. Thank you.


Source : https://www.dcode.fr/linear-equation
© 2018 dCode — The ultimate 'toolkit' to solve every games / riddles / geocaches. dCode
Feedback