Answer:
5 units
Step-by-step explanation:
To find the distance between the points (1, -2) and (-2, 2) using the distance formula, follow these steps:
1. **Identify the coordinates:**
Point 1: (1, -2)
Point 2: (-2, 2)
2. **Apply the distance formula:**
The distance formula is √[(x₂ - x₁)² + (y₂ - y₁)²].
Substituting the coordinates into the formula:
√[(-2 - 1)² + (2 - (-2))²]
3. **Calculate the differences:**
(-2 - 1) = -3
(2 - (-2)) = 4
4. **Square the differences:**
(-3)² = 9
4² = 16
5. **Add the squared differences:**
9 + 16 = 25
6. **Find the square root of the sum:**
√25 = 5
7. **Final result:**
The distance between the points (1, -2) and (-2, 2) is 5 units.
