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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.
To find the x-intercepts we plug in 0 for y: 0 = x 2 + 2x - 8 (which factors). 0 = (x + 4)(x - 2). x = -4 or x = 2. So this parabola has two x-intercepts: (-4,0) and (2,0). To find the y-intercept we plug in 0 for x : y = (0) 2 + 2(0) - 8 = -8. So the y-intercept of the parabola is (0,-8).