Would you mind ----- more slowly? I can't follow you.

句型“Do/Would you mind+(one's)v-ing形式”用来表示“请示允许”或“请求别人作某事”.例如：
①Do you mind waiting for an hour or two?
等一两个小时你介意吗?
B:Not at all.
②Would you mind closing the door?(=Please close the door.)
请你关上门,您介意吗?
mind后面可以用-ing形式,复合结构 one’s doing或if引导的从句.