To calculate the distance between the two points $(2, -2)$ and $(6, 3)$, we use the distance formula:

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Step-by-step solution:

1. Assign the coordinates:

   • $x_1 = 2, y_1 = -2$
   • $x_2 = 6, y_2 = 3$

2. Substitute these values into the formula: $d = \sqrt{(6 - 2)^2 + (3 - (-2))^2}$

3. Simplify inside the parentheses: $d = \sqrt{(4)^2 + (5)^2}$

4. Square the terms: $d = \sqrt{16 + 25}$

5. Add the squares: $d = \sqrt{41}$

6. Take the square root and round to the nearest tenth: $d \approx 6.4 \text{ units.}$

Final Answer:

$\boxed{6.4 \, \text{units}}$

Would you like further clarification or more details on the process?

Here are 5 related questions for practice:

1. How do you derive the distance formula from the Pythagorean theorem?
2. What is the distance between $(-3, 4)$ and $(7, -2)$?
3. How do you find the midpoint of two points?
4. How is the distance formula applied in 3D space?
5. What is the shortest distance between a point and a line?

Tip: When solving distance problems, double-check your signs when subtracting coordinates, as errors often occur there.