1. **State the problem:** Determine if the park is 5 miles from the deli on the coordinate plane. 2. **Identify coordinates:** The deli is at $(-4, 2)$ and the park is at $(-4, -4)$. 3. **Formula used:** Distance between two points on a vertical or horizontal line is the absolute difference of their coordinates along that axis. 4. **Check if vertical or horizontal:** Both points have the same $x$-coordinate ($-4$), so the distance is vertical. 5. **Calculate distance:** $$\text{Distance} = |y_2 - y_1| = |-4 - 2| = |-6| = 6$$ 6. **Interpretation:** The distance between the park and the deli is 6 miles, not 5 miles. 7. **Conclusion:** The statement "The park is 5 miles from the deli" is **False**.