Given Coordinates: x1 = -2 y1 = -6, x2 = 2 y2 = -1
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(2 − (-2))2 + (-1 − (-6))2
d = √(2 + 2)2 + (-1 + 6)2
d = √42 + 52
d = √16 + 25
d = √41
Therefore, the distance between the points (-2, -6) and (2, -1) 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 = √(2 − (-2))2 + (-1 − (-6))2
d = √(2 + 2)2 + (-1 + 6)2
d = √42 + 52
d = √16 + 25
d = √41
Therefore, the distance between the points (-2, -6) and (2, -1) is equal to √41
Note: As a decimal number, √41 ≈ 6.4031242374328
