The FL-130 (Appearance, stipulation and waivers) is typically used when the parties have reached an agreement in their case. Therefore, both parties need to sign the document.
The Respondent would typically check off one of the boxes in Section one (1) depending on whether he/she has already made an appearance in the case. In Section two (2), you would typically check off box 2a, b, c, d, and e. If the case is a paternity matter (parties not married), then you also check box 2f.