With operating wavelength λ=1550 nm, two-dimensional graded eye-shaped scatterers are applied into photonic crystal waveguide (PCW) for slow light effect in three ways: 1) getting slow light with the group index ng from 31.4 to 95.0, the low-dispersion bandwidth (Δng<10%) from 3.7 nm to 11.8 nm, the scalar product ng×(Δλ)/λ from 0.2268 to 0.2390, and the ultralow-dispersion bandwidth (Δng<1%) from 2.2 nm to 4.8 nm by grading the single-row eye-shaped scatterers along the longitudinal direction; 2) getting slow light with the group index ng from 31.6 to 108.2, the low-dispersion bandwidth (Δng<10%) from 4.0 nm to 13.0 nm, the scalar product ng×(Δλ)/λ from 0.2650 to 0.2792, and the ultralow-dispersion bandwidth (Δng<1%) from 2.6 nm to 6.8 nm by grading the triple-row eye-shaped scatterers periodically along the longitudinal direction; 3) getting slow light with the group index ng from 32.1 to 89.3, the low-dispersion bandwidth from 2.9 nm to 9.3 nm, the scalar product ng×(Δλ)/λ from 0.1670 to 0.1926, and the ultralow-dispersion bandwidth from 1.6 nm to 3.5 nm by grading the eye-shaped scatterers along the transverse direction. It means that graded structures, especially the graded eye-shaped scatterers along the longitudinal direction, can achieve slow light effect well and may provide a new way to design and apply slow light.