Understanding Society User Support

I am running a linear regression using participants who have responded in waves 9 and 10. I understand that using the wave 10 longitudinal weight will drop individuals from my analysis who haven't responded to all of the preceding waves. From the weighting FAQ, I understand I can adjust a cross-sectional weight myself to account for the non-response in my analysis. However I'm wondering how to go about this - which cross-sectional weight do I take as a base, and from what population do I derive the weight? As I am dropping anyone not responding with a full interview in wave 9 and 10, how can I estimate the probability of non-response between these waves as everyone in my sample has responded to both? Thank you in advance for your help.