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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.
If the graph of a quadratic function has two x-intercepts, then the line of symmetry is the vertical line through the midpoint of the x-intercepts. The x-intercepts of the graph above are at -5 and 3. The line of symmetry goes through -1, which is the average of -5 and 3. (-5 + 3)/2 = -2/2 = -1.