Question: Find the distance between the pair of points. Round to the nearest tenth, if necessary.
J(-3, 4)
O
K(2, -4)
units
1. **State the problem:** Find the distance between points $J(-3,4)$ and $K(2,-4)$.
2. **Formula:** The distance $d$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by:
$$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$
3. **Substitute values:**
$$d = \sqrt{(2 - (-3))^2 + (-4 - 4)^2} = \sqrt{(2 + 3)^2 + (-8)^2} = \sqrt{5^2 + (-8)^2}$$
4. **Calculate squares:**
$$d = \sqrt{25 + 64} = \sqrt{89}$$
5. **Evaluate square root:**
$$d \approx 9.433...$$
6. **Round to nearest tenth:**
$$d \approx 9.4$$
**Final answer:** The distance between points $J$ and $K$ is approximately $9.4$ units.