1. **State the problem:** We need to check if the point $(-4, 5)$ satisfies the system of equations: $$x = -4$$ $$y = \frac{1}{2}x + 7$$ 2. **Check the first equation:** The first equation is $x = -4$. The point has $x = -4$, so it satisfies the first equation. 3. **Check the second equation:** Substitute $x = -4$ into the second equation: $$y = \frac{1}{2}(-4) + 7$$ Calculate the right side: $$y = -2 + 7 = 5$$ 4. **Compare with the point's $y$ value:** The point has $y = 5$, which matches the calculated value. 5. **Conclusion:** Since the point $(-4, 5)$ satisfies both equations, it is a solution to the system.