Distance between points (-6, -1) and (4, 7)

Given Coordinates: x₁ = -6  y₁ = -1,  x₂ = 4  y₂ = 7
Distance Formula: d = √(x₂ − x₁)² + (y₂ − y₁)²
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(4 − (-6))² + (7 − (-1))²
d = √(4 + 6)² + (7 + 1)²
d = √10² + 8²
d = √100 + 64
d = √164
d = √4 * 41
d = √4 * √41
d = 2√41
Therefore, the distance between the points (-6, -1) and (4, 7) is equal to 2√41
Note: As a decimal number, 2√41 ≈ 12.806248474866