Éowyn, Lady of Rohan

At the beginning of combat on your turn, target creature gains your choice of first strike or vigilance until end of turn. If that creature is equipped, it gains first strike and vigilance until end of turn instead.
Equip abilities you activate cost {1} less to activate.

The Lord of the Rings: Tales of Middle-earth

Some Equipment creature cards in other sets have reconfigure, a different ability that attaches them to a creature. Reconfigure is not an equip ability, and reconfigure costs are not reduced by Éowyn, Lady of Rohan's last ability. Equip variants or equip abilities with restrictions, like the "equip Human" ability of Dúnedain Blade, are still equip abilities, and their costs will be reduced by Éowyn, Lady of Rohan's last ability.

Éowyn, Lady of Rohan's last ability reduces only the amount of generic mana in equip abilities. For example, it will reduce an equip cost of {1} to {0}, but it will have no effect on an equip cost of {G}.