To set up the distance formula correctly between the two points \( L(4, 2) \) and \( M(7, 6) \), we use the distance formula:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
Here, \( (x_1, y_1) \) represents point L, and \( (x_2, y_2) \) represents point M.
Plugging in the coordinates:
- \( x_1 = 4, y_1 = 2 \) (from point L)
- \( x_2 = 7, y_2 = 6 \) (from point M)
The correct setup is:
\[ d = \sqrt{(7 - 4)^2 + (6 - 2)^2} \]
Which evaluates to:
\[ d = \sqrt{(4 - 7)^2 + (2 - 6)^2} \]
Thus, the correct response from the provided options is:
d = \sqrt{(4 - 7)^2 + (2 - 6)^2}