For each of the following lines, state a direction vector with integer components. If possible, name a point on the line with integer coordinates.
a) x=1/3 + 2t
y=3 - 2t/3
so this is my attempt, but I am not sure what I did wrong and how to get the correct answer.
d=(2, -2/3)
P=(1/3, 3)
But now to find integer values of the above..
d=(3,-1)
P=(1,9)
But in the back of the book, the answer is
d=(3,-1) << which I have, BUT they do not have a possible point on the line.. does it mean that there are no other integer values on the line, or is there answer wrong?