Distance between points (-3, -5) and (2, 10)

Given Coordinates: x₁ = -3  y₁ = -5,  x₂ = 2  y₂ = 10
Distance Formula: d = √(x₂ − x₁)² + (y₂ − y₁)²
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(2 − (-3))² + (10 − (-5))²
d = √(2 + 3)² + (10 + 5)²
d = √5² + 15²
d = √25 + 225
d = √250
d = √25 * 10
d = √25 * √10
d = 5√10
Therefore, the distance between the points (-3, -5) and (2, 10) is equal to 5√10
Note: As a decimal number, 5√10 ≈ 15.811388300842