Answer
w is not in the subspace generated by $v_1$ and $v_2$
Work Step by Step
$\begin{bmatrix}
2&-4&8\\
3&-5&2\\
-5&8&-9\\
\end{bmatrix}
$~$\begin{bmatrix}
1&0&0\\
0&1&0\\
0&0&1\\
\end{bmatrix}
$
The solution is inconsistent, which means w is not in the subspace generated by $v_1$ and $v_2$
