trousers/pants for men or women, that are not part of a suit 便裤;宽松的长裤
a pair of slacks
一条便裤

take / pick up the slack
1
use up a surplus or improve the use of resources to avoid an undesirable lull in business抓紧松弛环节, 治理整顿(指将盈余用光或提高资源利用率以避免不良的生意停滞):
as domestic demand starts to flag, foreign demand will help pick up the slack.

由于国内需求开始萎缩, 外贸需求将有助扭转市场的不景气。

2
pull on the loose end or part of a rope in order to make it taut拉紧松弛的绳索。

slack: work that someone should have done but didn’t do properly or completely

所以:

pick up your slack
= do the work that you failed to do

例句

I’m just here to pick up your slack.
我就是来替你收拾烂摊子 / 补你的工作的。