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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.
Verb. 1. intercept-seize on its way; The fighter plane was ordered to intercept an aircraft that had entered the country's airspace. stop. grab, take hold of, catch-take hold of so as to seize or restrain or stop the motion of; Catch the ball!; Grab the elevator door!.