Given Coordinates: x1 = 1 y1 = 3, x2 = 5 y2 = 7
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(5 − 1)2 + (7 − 3)2
d = √42 + 42
d = √16 + 16
d = √32
d = √16 * 2
d = √16 * √2
d = 4√2
Therefore, the distance between the points (1, 3) and (5, 7) is equal to 4√2
Note: As a decimal number, 4√2 ≈ 5.6568542494924
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(5 − 1)2 + (7 − 3)2
d = √42 + 42
d = √16 + 16
d = √32
d = √16 * 2
d = √16 * √2
d = 4√2
Therefore, the distance between the points (1, 3) and (5, 7) is equal to 4√2
Note: As a decimal number, 4√2 ≈ 5.6568542494924
