Given Coordinates: x1 = -4 y1 = -5, 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 − (-4))2 + (-4 − (-5))2
d = √(1 + 4)2 + (-4 + 5)2
d = √52 + 12
d = √25 + 1
d = √26
Therefore, the distance between the points (-4, -5) 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 − (-4))2 + (-4 − (-5))2
d = √(1 + 4)2 + (-4 + 5)2
d = √52 + 12
d = √25 + 1
d = √26
Therefore, the distance between the points (-4, -5) and (1, -4) is equal to √26
Note: As a decimal number, √26 ≈ 5.0990195135928