Given Coordinates: x1 = -2 y1 = -4, x2 = -3 y2 = 2
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-3 − (-2))2 + (2 − (-4))2
d = √(-3 + 2)2 + (2 + 4)2
d = √(-1)2 + 62
d = √1 + 36
d = √37
Therefore, the distance between the points (-2, -4) and (-3, 2) is equal to √37
Note: As a decimal number, √37 ≈ 6.0827625302982
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-3 − (-2))2 + (2 − (-4))2
d = √(-3 + 2)2 + (2 + 4)2
d = √(-1)2 + 62
d = √1 + 36
d = √37
Therefore, the distance between the points (-2, -4) and (-3, 2) is equal to √37
Note: As a decimal number, √37 ≈ 6.0827625302982