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

B (-2, -6)
C (10, -1)

To compute the distance between points B (-2, -6) and C (10, -1), we can use the distance formula:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

In this case, x₁ = -2, y₁ = -6, x₂ = 10, and y₂ = -1.

Now, let's substitute these values into the formula:

d = √((10 - (-2))² + (-1 - (-6))²)
= √((10 + 2)² + (-1 + 6)²)
= √((12)² + (5)²)
= √(144 + 25)
= √(169)
= 13

Therefore, the distance between points B and C is 13 units.