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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.
x = 2/3 or x = â 1. Then the x-intercepts are at the points (â1, 0) and ( 2/3, 0). The axis of symmetry is halfway between the two x-intercepts at (â1, 0) and at ( 2/3 , 0); using this, I can confirm the answer from the previous page: (â1 + 2/3) / 2 = (â1/3) / 2 = â1/6.