Given Coordinates: x1 = 4 y1 = 1, x2 = -2 y2 = 5
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-2 − 4)2 + (5 − 1)2
d = √(-6)2 + 42
d = √36 + 16
d = √52
d = √4 * 13
d = √4 * √13
d = 2√13
Therefore, the distance between the points (4, 1) and (-2, 5) is equal to 2√13
Note: As a decimal number, 2√13 ≈ 7.211102550928
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-2 − 4)2 + (5 − 1)2
d = √(-6)2 + 42
d = √36 + 16
d = √52
d = √4 * 13
d = √4 * √13
d = 2√13
Therefore, the distance between the points (4, 1) and (-2, 5) is equal to 2√13
Note: As a decimal number, 2√13 ≈ 7.211102550928
