Given Coordinates: x1 = 6 y1 = 4, x2 = 1 y2 = 9
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(1 − 6)2 + (9 − 4)2
d = √(-5)2 + 52
d = √25 + 25
d = √50
d = √25 * 2
d = √25 * √2
d = 5√2
Therefore, the distance between the points (6, 4) and (1, 9) is equal to 5√2
Note: As a decimal number, 5√2 ≈ 7.0710678118655
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(1 − 6)2 + (9 − 4)2
d = √(-5)2 + 52
d = √25 + 25
d = √50
d = √25 * 2
d = √25 * √2
d = 5√2
Therefore, the distance between the points (6, 4) and (1, 9) is equal to 5√2
Note: As a decimal number, 5√2 ≈ 7.0710678118655
