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

The expression “

*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.### 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 \(\frac{3}{4}\).