In a Cartesian plane, the coordinates of the intersections of a curve with the axes.

If a curve intersects with the

*x*-axis at the point (*a*, 0) and the*y*-axis at the point (0,*b*),*a*is the*x*-intercept and*b*is the*y*-intercept.### Example

In this Cartesian plane, the *x*– and *y*-intercepts of the line represented in orange, for which the equation is

*y* = 3*x* + 2 are \((−\frac{2}{3}, 0)\) and \((0, 2)\).

The *x*-intercept of this line is *x* = \(−\frac{2}{3}\) and the y-intercept is *y* = 2.

### Educational Note

Note that the *x*– and *y*-intercepts of the graph of a function are ordered pairs of numbers, while the *x*– and

*y*-intercepts are numbers.