Given Coordinates: x1 = 4 y1 = 6, x2 = 10 y2 = 12
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(10 − 4)2 + (12 − 6)2
d = √62 + 62
d = √36 + 36
d = √72
d = √36 * 2
d = √36 * √2
d = 6√2
Therefore, the distance between the points (4, 6) and (10, 12) is equal to 6√2
Note: As a decimal number, 6√2 ≈ 8.4852813742386
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(10 − 4)2 + (12 − 6)2
d = √62 + 62
d = √36 + 36
d = √72
d = √36 * 2
d = √36 * √2
d = 6√2
Therefore, the distance between the points (4, 6) and (10, 12) is equal to 6√2
Note: As a decimal number, 6√2 ≈ 8.4852813742386
