Given Coordinates: x1 = 6 y1 = 5, x2 = 4 y2 = -1
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(4 − 6)2 + (-1 − 5)2
d = √(-2)2 + (-6)2
d = √4 + 36
d = √40
d = √4 * 10
d = √4 * √10
d = 2√10
Therefore, the distance between the points (6, 5) and (4, -1) is equal to 2√10
Note: As a decimal number, 2√10 ≈ 6.3245553203368
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(4 − 6)2 + (-1 − 5)2
d = √(-2)2 + (-6)2
d = √4 + 36
d = √40
d = √4 * 10
d = √4 * √10
d = 2√10
Therefore, the distance between the points (6, 5) and (4, -1) is equal to 2√10
Note: As a decimal number, 2√10 ≈ 6.3245553203368
