Is it possible for a line ax+by=c to lack a y-intercept? to lack an x-intercept

When george started his current job, his employer told him that at the end of the first year, he would receive two vacation days. after each year worked, his number of vacation days will double up to five work weeks (25days) of payed vacation. how many vacation days will he have in 4 years

Iknow its nothing to do with education, but what type of thing should i wrote here? ? : ) its for mcdonald's btw.

Which shaded region is the solution to the system of inequalities? y y[tex]\geq[/tex]-x+1