Distance between points (-3, -2) and (7, 4)

Given Coordinates: x₁ = -3  y₁ = -2,  x₂ = 7  y₂ = 4
Distance Formula: d = √(x₂ − x₁)² + (y₂ − y₁)²
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(7 − (-3))² + (4 − (-2))²
d = √(7 + 3)² + (4 + 2)²
d = √10² + 6²
d = √100 + 36
d = √136
d = √4 * 34
d = √4 * √34
d = 2√34
Therefore, the distance between the points (-3, -2) and (7, 4) is equal to 2√34
Note: As a decimal number, 2√34 ≈ 11.661903789691