Assignment:
Let V= (x,y) in R2{y=3x+1} with addition and multiplication by a scalar defined on V by:
(x,y)+ (x',y')= (x+x',y+y'-1)
k(x,y)=(kx,k(y-1)+1)
Given that with these definitions, V satisfies vector space axioms 1,2,3,6,8,9,and 10 determine whether or not V is a vector space by checking to see if axioms 4,5,7,are also satisfied.