The y-intercept of a graph of a function f represented on a Cartesian plane is the y-coordinate of the point at the coordinates (0, f(0)), or the point where the line intersects with the y-axis.
The y-intercept of a function f is therefore the value of f when the independent variable x is zero, or f(0).
The expression “y-intercept” can also indicate the point where the line of a function intersects with the y-axis.
The expression “y-intercept” can also indicate the point where the line of a function intersects with the y-axis.
Example
The y-intercept of the graph of the function defined by \(f(x) = −\frac{8}{3}x + 2\) is 2 and its x-intercept is \(\frac{3}{4}\).
