X-intercept: (8, 0), Y-intercept: (0, 2). To find the x and y intercepts, plug 0 into x and y in the line equation. X intercept: (0 = -1/4x + 2), (-2 = -1/4x), (8 = x). This means the x intercept is at (8, 0). Y intercept: (y = -1/4(0) + 2), (y = 0 + 2), ( y = 2). This means the y intercept is (0, 2).