Given Coordinates: x1 = -3 y1 = -8, x2 = 2 y2 = -16
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(2 − (-3))2 + (-16 − (-8))2
d = √(2 + 3)2 + (-16 + 8)2
d = √52 + (-8)2
d = √25 + 64
d = √89
Therefore, the distance between the points (-3, -8) and (2, -16) is equal to √89
Note: As a decimal number, √89 ≈ 9.4339811320566
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(2 − (-3))2 + (-16 − (-8))2
d = √(2 + 3)2 + (-16 + 8)2
d = √52 + (-8)2
d = √25 + 64
d = √89
Therefore, the distance between the points (-3, -8) and (2, -16) is equal to √89
Note: As a decimal number, √89 ≈ 9.4339811320566