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More specifically, 1  an x-intercept is a point in the equation where the y-value is zero, and. 2  a y-intercept is a point in the equation where the x-value is zero.  Find the x- and y-intercepts of 25x2 + 4y2 = 9.
Definition of intercept. 1  1 : the distance from the origin to a point where a graph crosses a coordinate axis. 2  2 : interception; especially : the interception of a missile by an interceptor or of a target by a missile. 3  3 : a message, code, or signal that is intercepted (as by monitoring radio communications)