From the uploaded image, here are the final answers based on the questions:

(a) General Solution:

The general solution is: $\mathbf{x}(t) = c_1 \begin{pmatrix} 1 \\ -1 \end{pmatrix} e^{\frac{1+\sqrt{5}}{2}t} + c_2 \begin{pmatrix} 2 \\ -1 \end{pmatrix} e^{\frac{1-\sqrt{5}}{2}t}.$

(b) Behavior of the General Solution:

The behavior corresponds to a saddle point, with one solution growing exponentially and another decaying exponentially.

Correct choice:
Divergent solutions have trajectories defined by $-x_1 - 2x_2 = -c_2$.

(c) Correct Direction Field:

Drag the point to the direction field that matches a saddle point behavior, which shows trajectories diverging and converging along specific directions.

If you'd like further clarification or have more details to share, let me know!