Answer:
Approximately 12.04 units.
Step-by-step explanation:
The find the distance between any two points, we can use the distance formula, which is:
We have the points (2,7) and (-6,-2). Let's let (2,7) be (x₁, y₁) and let's let (-6, -2) be (x₂, y₂). Substitute:
Subtract:
Square:
Add:
Approximate
So, the distance between (2,7) and (-6,-2) is approximately 12.04 units.
And we're done!