Search for a tool
Slope Coefficient

Tool to compute a slope from 2 points. The slope coefficient of a line indicates the variation of the y-coordinate when the x-coordinate increments of 1 unit.

Results

Slope Coefficient -

Tag(s) : Geometry, Functions

Share
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!


Please, check our community Discord for help requests!


Thanks to your feedback and relevant comments, dCode has developped the best Slope Coefficient tool, so feel free to write! Thank you !

Slope Coefficient

Sponsored ads

Slope Coefficient Calculator





Tool to compute a slope from 2 points. The slope coefficient of a line indicates the variation of the y-coordinate when the x-coordinate increments of 1 unit.

Answers to Questions

How to calculate slope coefficient?

From 2 points A(x1,y1) and B(x2,y2), the slope coefficient of the line or the segment hat passes through points A and B is calculated from the fraction formula : $$ \frac{y2-y1}{x2-x1} $$

Example: Search the slope of an affine function that goes through 2 points (x-axis, y-axis) A(1,2) and B(3,4), is calculating the slope value which is $ \frac{4-2}{3-1} = \frac{2}{2} = 1 $

What is the slope coefficient of a vertical line?

If a line is vertical then the slope coefficient is infinity $ \infty $.

What is the slope coefficient of an horizontal line?

If a line is vertical then the slope coefficient is $ 0 $. This is sometimes the case of a tangeant or an asymptote.

How to find the equation of a line with the slope coefficient?

Any line on the plane corresponds to an affine function of equation $ y = ax + b $ with $ a $ the directional coefficient and $ b $ the ordinate at the origin.

How to draw a line with the slope coefficient?

After finding the equation of the line from the directing coefficient (see above), then take 2 values for $ x $ (for example $ 0 $ and $ 1 $) and calculate the value of $ y $ for each value . The values $ (x_1, y_1) $ and $ (x_2, y_2) $ are the coordinates of 2 points on the line, connecting them is enough to draw the line.

How to demonstrate that 2 lines are parallel?

Two lines are parallel if and only if their slope coefficients are equal.

How to demonstrate that 2 lines are perpendicular?

Two lines are perpendicular if and only if the product of their slope coeffifients is -1.

Source code

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

Need Help ?

Please, check our community Discord for help requests!

Questions / Comments

Thanks to your feedback and relevant comments, dCode has developped the best Slope Coefficient tool, so feel free to write! Thank you !


Source : https://www.dcode.fr/slope-coefficient
© 2020 dCode — The ultimate 'toolkit' to solve every games / riddles / geocaching / CTF.
Feedback