Given Coordinates: x1 = -4 y1 = -6, x2 = -1 y2 = 5
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-1 − (-4))2 + (5 − (-6))2
d = √(-1 + 4)2 + (5 + 6)2
d = √32 + 112
d = √9 + 121
d = √130
Therefore, the distance between the points (-4, -6) and (-1, 5) is equal to √130
Note: As a decimal number, √130 ≈ 11.401754250991
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-1 − (-4))2 + (5 − (-6))2
d = √(-1 + 4)2 + (5 + 6)2
d = √32 + 112
d = √9 + 121
d = √130
Therefore, the distance between the points (-4, -6) and (-1, 5) is equal to √130
Note: As a decimal number, √130 ≈ 11.401754250991