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

Given Coordinates: x₁ = -4  y₁ = -1,  x₂ = 1  y₂ = 4
Distance Formula: d = √(x₂ − x₁)² + (y₂ − y₁)²
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(1 − (-4))² + (4 − (-1))²
d = √(1 + 4)² + (4 + 1)²
d = √5² + 5²
d = √25 + 25
d = √50
d = √25 * 2
d = √25 * √2
d = 5√2
Therefore, the distance between the points (-4, -1) and (1, 4) is equal to 5√2
Note: As a decimal number, 5√2 ≈ 7.0710678118655