# Definitions for **y-intercept**

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y-intercept

In coordinate geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept is a point where the graph of a function or relation intersects with the y-axis of the coordinate system. As such, these points satisfy x=0 If the curve in question is given as y = f(x), the y-coordinate of the y-intercept is found by calculating f. Functions which are undefined at x = 0 have no y-intercept. 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. 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.

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"y-intercept." *Definitions.net.* STANDS4 LLC, 2014. Web. 25 Jul 2014. <http://www.definitions.net/definition/y-intercept>.