To find the distance between two points \( V(-5, -2) \) and \( T(7, 7) \) in a 2D plane, we can use the distance formula:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
Here, \( (x_1, y_1) = (-5, -2) \) and \( (x_2, y_2) = (7, 7) \).
Substituting the coordinates into the formula:
\[ d = \sqrt{(7 - (-5))^2 + (7 - (-2))^2} \]
Calculating each term:
\[ d = \sqrt{(7 + 5)^2 + (7 + 2)^2} \] \[ d = \sqrt{(12)^2 + (9)^2} \] \[ d = \sqrt{144 + 81} \] \[ d = \sqrt{225} \] \[ d = 15 \]
Thus, the distance from point \( V \) to point \( T \) is \( 15 \) units.