Are the underlined words an infinitive or a prepositional phrase?

would you rather stay home or go to town?

a.
prepositional phrase

b.
infinitive

today we'd use social media to quickly spread a controversial idea, but in the eighteenth century, the printed pamphlet was highly effective. and thomas paine took full advantage of it. on january 9, 1776, when paine published his pamphlet, "common sense," he wanted to push the american people toward independence from britain. it ultimately ignite the american revolution. thomas paine argued that the monarchy was evil and should be rejected as a form of government. to underscore his point, he cited the bible to argue his case -- in judges 8: 22-23: "the israelites said to gideon, 'rule over us, you and your son and your ' gideon told them, 'i will not rule over you. the lord will rule over you'" (nrsv).

c. our lives go by quickly, so take time to enjoy each moment.

explanation:

i agree so i wont repert this question

hey u think u can me with a summary? ?