To find the distance between the two points \((-2, -1)\) and \((2, 4)\), we can use the Pythagorean Theorem. The distance \(d\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is calculated using the formula:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
Substituting the coordinates of the points:
- \(x_1 = -2\)
- \(y_1 = -1\)
- \(x_2 = 2\)
- \(y_2 = 4\)
We calculate \(d\):
\[ d = \sqrt{(2 - (-2))^2 + (4 - (-1))^2} \] \[ d = \sqrt{(2 + 2)^2 + (4 + 1)^2} \] \[ d = \sqrt{(4)^2 + (5)^2} \] \[ d = \sqrt{16 + 25} \] \[ d = \sqrt{41} \]
Calculating \(\sqrt{41}\), we get:
\[ d \approx 6.403124237 \]
Rounding to the nearest hundredth:
\[ d \approx 6.40 \]
Thus, the answer is:
6.40