sign on the dotted line
US /saɪn ɑn ðə ˈdɑtɪd laɪn/
UK /saɪn ɑn ðə ˈdɑtɪd laɪn/

1.
to formally agree to something by signing a document
:
•
After much negotiation, he finally agreed to sign on the dotted line.
•
Are you ready to sign on the dotted line and commit to this project?