Given Coordinates: x1 = -1 y1 = -2, x2 = 4 y2 = 2
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(4 − (-1))2 + (2 − (-2))2
d = √(4 + 1)2 + (2 + 2)2
d = √52 + 42
d = √25 + 16
d = √41
Therefore, the distance between the points (-1, -2) and (4, 2) 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 = √(4 − (-1))2 + (2 − (-2))2
d = √(4 + 1)2 + (2 + 2)2
d = √52 + 42
d = √25 + 16
d = √41
Therefore, the distance between the points (-1, -2) and (4, 2) is equal to √41
Note: As a decimal number, √41 ≈ 6.4031242374328