Distance between points (-4, 2) and (2, -1)

Given Coordinates: x₁ = -4  y₁ = 2,  x₂ = 2  y₂ = -1
Distance Formula: d = √(x₂ − x₁)² + (y₂ − y₁)²
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(2 − (-4))² + (-1 − 2)²
d = √(2 + 4)² + (-1 − 2)²
d = √6² + (-3)²
d = √36 + 9
d = √45
d = √9 * 5
d = √9 * √5
d = 3√5
Therefore, the distance between the points (-4, 2) and (2, -1) is equal to 3√5
Note: As a decimal number, 3√5 ≈ 6.7082039324994