Given Coordinates: x1 = 1 y1 = 4, x2 = 3 y2 = 6
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(3 − 1)2 + (6 − 4)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, 4) and (3, 6) 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 + (6 − 4)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, 4) and (3, 6) is equal to 2√2
Note: As a decimal number, 2√2 ≈ 2.8284271247462