Given Coordinates: x1 = 2 y1 = 3, x2 = 9 y2 = 4
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(9 − 2)2 + (4 − 3)2
d = √72 + 12
d = √49 + 1
d = √50
d = √25 * 2
d = √25 * √2
d = 5√2
Therefore, the distance between the points (2, 3) and (9, 4) 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 = √(9 − 2)2 + (4 − 3)2
d = √72 + 12
d = √49 + 1
d = √50
d = √25 * 2
d = √25 * √2
d = 5√2
Therefore, the distance between the points (2, 3) and (9, 4) is equal to 5√2
Note: As a decimal number, 5√2 ≈ 7.0710678118655