Looks good to me!

(Since the "direction vector", <-4, 1/2, 1>, shows only direction, its length is not important and any multiple of it would also work. If you really don't like fractions multiply it by 2: (x,y,z) = (1, -4, 2) + t(-8, 1, 2). That gives the same points, with this new t half what the old t was.)