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.
Slope Coefficient - dCode
Tag(s) : Geometry, Functions
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Slope Coefficient
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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 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
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Questions / Comments
Version Française- Slope Coefficient Calculator
- How to calculate slope coefficient?
- What is the slope coefficient of a vertical line?
- What is the slope coefficient of an horizontal line?
- How to find the equation of a line with the slope coefficient?
- How to demonstrate that 2 lines are parallel?
- How to demonstrate that 2 lines are perpendicular?
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