Question

What is the distance between the two points (6, -2) and (4,6)?

Answer 1

The distance is 8.246 units.
That is because if we make a right triangle with these points and use the pythagorean theorem, we will get the diagonal's length.

Answer 2

Use the distance formula;

d = √(x₂ - x₁)² + (y₂ - y₁)²     (6, -2),  (4, 6)

d = √(4 - 6)² + (6 - (-2)²

d = √(-2)² + (8)²

d = √4 + 64

d = √68      or  2√17 or 8.25

hope this helps, God bless!