Distance between points (4, 9) and (6, 11)

Given Coordinates: x₁ = 4  y₁ = 9,  x₂ = 6  y₂ = 11
Distance Formula: d = √(x₂ − x₁)² + (y₂ − y₁)²
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(6 − 4)² + (11 − 9)²
d = √2² + 2²
d = √4 + 4
d = √8
d = √4 * 2
d = √4 * √2
d = 2√2
Therefore, the distance between the points (4, 9) and (6, 11) is equal to 2√2
Note: As a decimal number, 2√2 ≈ 2.8284271247462