Tool to calculate a linear 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.
Linear Equation - dCode
Tag(s) : Geometry, Functions
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!
Linear Equation
Sponsored adsLinear Equation Calculator (2D plane)
Answers to Questions (FAQ)
How to calculate the equations of a line?
A line of the plane (2D) has an equation of the form $ a x + b $ (affine function), with $ a $ its slope coefficient and $ b $ the y-intercept.
Knowing the slope coefficient and the ordinate at the origin, is deduced the linear 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: $$ \frac{y_B-y_A}{x_B-x_A} $$
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
Source code
dCode retains ownership of the online 'Linear Equation' tool source code. Except explicit open source licence (indicated CC / Creative Commons / free), any 'Linear Equation' algorithm, applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any 'Linear Equation' 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 'Linear Equation' 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 'Linear Equation' tool, so feel free to write! Thank you!