The inequality you provided is \( y \geq -3x + 4 \).
When graphing inequalities, whether the line is solid or dashed depends on the inequality symbol:
- A solid line is used for inequalities that include equal to, such as \( \geq \) or \( \leq \).
- A dashed line is used for inequalities that do not include equal to, such as \( > \) or \( < \).
Since the inequality is \( y \geq -3x + 4 \), it includes the equal to component (indicated by the "≥"), so the graph of this inequality will use a solid line.
Thus, the correct answer is: Solid.