Can someone help me pls

How many lines can be drawn through points j and k? 0 1 2 3

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?

Ijust need these 2 questions answered (the second pic is just confirmation i'm not confident in that answer)