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.
Y-Intercept - dCode
Tag(s) : Geometry, Functions
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Y-Intercept
Y-Intercept Calculator
X-Intercept Calculator
Slope coefficient calculator
Answers to Questions (FAQ)
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?
The general formula for finding the y-intercept of a function $ y = f(x) $ is to calculate the value of $ y $ when $ x = 0 $.
From the function expression
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 $ y = 3x^2 + 1 $, with $ x = 0 $ is $ y = 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 y=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 from the equation of the line (see the linear equation calculation) and thus deduce the y-intercept (see above).
Source code
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