Question: Find the distance between the pair of points. Round to the nearest tenth, if necessary.
M(4, 0)
L(-2, -3)
1. **State the problem:** We need to find the distance between points $M(4, 0)$ and $L(-2, -3)$ on the coordinate plane.
2. **Formula used:** The distance $d$ between two points $A(x_1, y_1)$ and $B(x_2, y_2)$ is given by the distance formula:
$$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$
3. **Identify coordinates:** Here, $x_1 = 4$, $y_1 = 0$, $x_2 = -2$, and $y_2 = -3$.
4. **Substitute values:**
$$d = \sqrt{(-2 - 4)^2 + (-3 - 0)^2} = \sqrt{(-6)^2 + (-3)^2}$$
5. **Calculate squares:**
$$d = \sqrt{36 + 9} = \sqrt{45}$$
6. **Simplify square root:**
$$\sqrt{45} = \sqrt{9 \times 5} = 3\sqrt{5}$$
7. **Approximate decimal value:**
$$d \approx 3 \times 2.236 = 6.708$$
8. **Round to nearest tenth:**
$$d \approx 6.7$$
**Final answer:** The distance between points $M$ and $L$ is approximately $6.7$ units.