Given Coordinates: x1 = -2 y1 = -1, x2 = -1 y2 = 4
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-1 − (-2))2 + (4 − (-1))2
d = √(-1 + 2)2 + (4 + 1)2
d = √12 + 52
d = √1 + 25
d = √26
Therefore, the distance between the points (-2, -1) and (-1, 4) is equal to √26
Note: As a decimal number, √26 ≈ 5.0990195135928
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-1 − (-2))2 + (4 − (-1))2
d = √(-1 + 2)2 + (4 + 1)2
d = √12 + 52
d = √1 + 25
d = √26
Therefore, the distance between the points (-2, -1) and (-1, 4) is equal to √26
Note: As a decimal number, √26 ≈ 5.0990195135928