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In analytic geometry, using the common convention that the horizontal axis represents a variable *x* and the vertical axis represents a variable *y*, a ** y-intercept** or

If the curve in question is given as the *y*-coordinate of the *y*-intercept is found by calculating Functions which are undefined at *x* = 0 have no *y*-intercept.

If the function is linear and is expressed in slope-intercept form as , the constant term is the *y*-coordinate of the *y*-intercept.^{[2]}

Some 2-dimensional mathematical relationships such as circles, ellipses, and hyperbolas can have more than one *y*-intercept. Because functions associate *x* values to no more than one *y* value as part of their definition, they can have at most one *y*-intercept.

Analogously, an *x*-intercept is a point where the graph of a function or relation intersects with the *x*-axis. As such, these points satisfy *y*=0. The zeros, or roots, of such a function or relation are the *x*-coordinates of these *x*-intercepts.^{[3]}

Unlike *y*-intercepts, functions of the form *y* = *f*(*x*) may contain multiple *x*-intercepts. The *x*-intercepts of functions, if any exist, are often more difficult to locate than the *y*-intercept, as finding the y intercept involves simply evaluating the function at *x*=0.

The notion may be extended for 3-dimensional space and higher dimensions, as well as for other coordinate axes, possibly with other names. For example, one may speak of the *I*-intercept of the current–voltage characteristic of, say, a diode. (In electrical engineering, *I* is the symbol used for electric current.)