1. **State the problem:** Find the distance between the points $(-4.3, 9.5)$ and $(-4.3, 5)$. 2. **Formula used:** The distance $d$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the distance formula: $$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$ 3. **Apply the formula:** Here, $x_1 = -4.3$, $y_1 = 9.5$, $x_2 = -4.3$, and $y_2 = 5$. $$d = \sqrt{(-4.3 - (-4.3))^2 + (5 - 9.5)^2}$$ 4. **Simplify inside the square root:** $$d = \sqrt{(0)^2 + (-4.5)^2}$$ 5. **Calculate squares:** $$d = \sqrt{0 + 20.25}$$ 6. **Simplify:** $$d = \sqrt{20.25}$$ 7. **Find the square root:** $$d = 4.5$$ **Final answer:** The distance between the points is $4.5$ units.