Samantha would like to build a ramp for her dog over some stairs. Compute the distance between points B and D

B (-2, -6)
D (5, 11)

To compute the distance between points B and D, you can use the distance formula:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the coordinates of B (-2, -6) and D (5, 11):

Distance = √((5 - (-2))^2 + (11 - (-6))^2)
Distance = √((5 + 2)^2 + (11 + 6)^2)
Distance = √(7^2 + 17^2)
Distance = √(49 + 289)
Distance = √338
Distance ≈ 18.38

Therefore, the distance between points B and D is approximately 18.38 units.