Distance between points (-1, -4) and (4, 6)

Given Coordinates: x₁ = -1  y₁ = -4,  x₂ = 4  y₂ = 6
Distance Formula: d = √(x₂ − x₁)² + (y₂ − y₁)²
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(4 − (-1))² + (6 − (-4))²
d = √(4 + 1)² + (6 + 4)²
d = √5² + 10²
d = √25 + 100
d = √125
d = √25 * 5
d = √25 * √5
d = 5√5
Therefore, the distance between the points (-1, -4) and (4, 6) is equal to 5√5
Note: As a decimal number, 5√5 ≈ 11.180339887499