Given Coordinates: x1 = 1 y1 = 5, x2 = 3 y2 = 7
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(3 − 1)2 + (7 − 5)2
d = √22 + 22
d = √4 + 4
d = √8
d = √4 * 2
d = √4 * √2
d = 2√2
Therefore, the distance between the points (1, 5) and (3, 7) is equal to 2√2
Note: As a decimal number, 2√2 ≈ 2.8284271247462
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(3 − 1)2 + (7 − 5)2
d = √22 + 22
d = √4 + 4
d = √8
d = √4 * 2
d = √4 * √2
d = 2√2
Therefore, the distance between the points (1, 5) and (3, 7) is equal to 2√2
Note: As a decimal number, 2√2 ≈ 2.8284271247462