Step-by-step explanation:
the distance between 2 points can be seen as the Hypotenuse of a right-angled triangle with the legs being the x and y coordinate differences.
and so, we use Pythagoras
c² = a² + b²
with c being the Hypotenuse (the side opposite of the 90 degree angle).
distance² = (5 - 0)² + (2 - -2)² = 5² + 4² = 25 + 16 = 41
so, the distance is sqrt(41) = 6.403124237...
