Distance between points (-2, -5) and (3, 5)

Given Coordinates: x₁ = -2  y₁ = -5,  x₂ = 3  y₂ = 5
Distance Formula: d = √(x₂ − x₁)² + (y₂ − y₁)²
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(3 − (-2))² + (5 − (-5))²
d = √(3 + 2)² + (5 + 5)²
d = √5² + 10²
d = √25 + 100
d = √125
d = √25 * 5
d = √25 * √5
d = 5√5
Therefore, the distance between the points (-2, -5) and (3, 5) is equal to 5√5
Note: As a decimal number, 5√5 ≈ 11.180339887499