Given Coordinates: x1 = -2 y1 = 2, x2 = -5 y2 = 7
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-5 − (-2))2 + (7 − 2)2
d = √(-5 + 2)2 + (7 − 2)2
d = √(-3)2 + 52
d = √9 + 25
d = √34
Therefore, the distance between the points (-2, 2) and (-5, 7) is equal to √34
Note: As a decimal number, √34 ≈ 5.8309518948453
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-5 − (-2))2 + (7 − 2)2
d = √(-5 + 2)2 + (7 − 2)2
d = √(-3)2 + 52
d = √9 + 25
d = √34
Therefore, the distance between the points (-2, 2) and (-5, 7) is equal to √34
Note: As a decimal number, √34 ≈ 5.8309518948453