1. **State the problem:** Determine whether each statement about distances between points on a coordinate plane is true or false. 2. **Recall the distance formula for points on horizontal or vertical lines:** - If points share the same $x$-coordinate (vertical line), distance $= |y_2 - y_1|$. - If points share the same $y$-coordinate (horizontal line), distance $= |x_2 - x_1|$. 3. **Calculate distances:** - Park $(-4,-4)$ and Deli $(-3,2)$: Different $x$ and $y$, so not purely horizontal or vertical. Distance is not simply difference in one coordinate, so statement about 5 miles is false. - Yogurt Shop $(0,4)$ and Deli $(-3,2)$: Different $x$ and $y$, so not purely horizontal or vertical. Statement about 4 miles is false. - Fountain $(3,-4)$ and Park $(-4,-4)$: Same $y=-4$, so distance $= |3 - (-4)| = |3 + 4| = 7$ miles, not 6. Statement is false. - Bookstore $(3,2)$ and Fountain $(3,-4)$: Same $x=3$, so distance $= |2 - (-4)| = |2 + 4| = 6$ miles. Statement is true. 4. **Final answers:** - The park is 5 miles from the deli: **False** - The yogurt shop is 4 miles from the deli: **False** - The fountain is 6 miles from the park: **False** - The bookstore is 6 miles from the fountain: **True**