Answer
Yes, the vectors are linearly independent.
Work Step by Step
According to the box on page 59, two vectors are linearly dependent if one is a constant multiple of the other. However, by multiplying the first vector by $2$, we can see that it is not a multiple of the second vector, since the first vector components are the same ($-2=-2$) but the second vector components are different ($8\neq-8$). Hence, the vectors cannot be linearly dependent: they must be linearly independent.