Basically, the abolitionist movement helped give rise to the women's movement. This was because so many women were active in the abolitionist movement.
The abolitionist movement was one of the most important reform movements of its time. Many of the people involved in it were women like Elizabeth Cady Stanton. In the movement, they learned about political participation and they also came to think more and more about women's rights. Many women in the movement came to think that they should work not only to liberate slaves, but to bring rights to women as well.
So, many women were attracted to political participation by the abolitionist movement. From there they moved on to pushing for women's rights. In this way, the abolitionist movement led to the movement for women's rights.