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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The y-intercept is the intersection point of the function/line with the y (ordinate) axis for the abscissa value x = 0 (origin).
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
Example: A line of equation y=3x+4 has 4 as y-intercept
From 2 points (line only)
From the slope coefficient and 1 point (line only)
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Cite as source (bibliography):
Y-Intercept on dCode.fr [online website], retrieved on 2022-12-09,