Tool for calculating the x-intercept (intercept with the x-axis) of a function, or line from at least 2 points or from 1 point and the slope coefficient.
X-Intercept - dCode
Tag(s) : Geometry, Functions
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The x-intercept is the name given to the intersection point of the function/line with the x-axis (abscissa) for the ordinate value y = 0 (origin).
With the equation
For any function (not necessarily affine/linear), calculating the x intercept is calculating the value for $ y = 0 $ or $ f(x) = 0 $. The value(s) obtained is/are the x-intercept(s).
With 2 points (line only)
With the slope coefficient and 1 point (line only)
Knowing the slope coefficient of a line and one of the points belonging to it, it is possible to calculate the equation of this line (see the page on the calculation of linear equations) and therefore, with this equation, deduce the x-intercept (see above).