Given Coordinates: x1 = 2 y1 = 5, x2 = -3 y2 = 9
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-3 − 2)2 + (9 − 5)2
d = √(-5)2 + 42
d = √25 + 16
d = √41
Therefore, the distance between the points (2, 5) and (-3, 9) is equal to √41
Note: As a decimal number, √41 ≈ 6.4031242374328
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-3 − 2)2 + (9 − 5)2
d = √(-5)2 + 42
d = √25 + 16
d = √41
Therefore, the distance between the points (2, 5) and (-3, 9) is equal to √41
Note: As a decimal number, √41 ≈ 6.4031242374328