Distance between points (-4, -2) and (1, 7)

Given Coordinates: x₁ = -4  y₁ = -2,  x₂ = 1  y₂ = 7
Distance Formula: d = √(x₂ − x₁)² + (y₂ − y₁)²
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(1 − (-4))² + (7 − (-2))²
d = √(1 + 4)² + (7 + 2)²
d = √5² + 9²
d = √25 + 81
d = √106
Therefore, the distance between the points (-4, -2) and (1, 7) is equal to √106
Note: As a decimal number, √106 ≈ 10.295630140987