Given Coordinates: x1 = -4 y1 = 1, x2 = -8 y2 = -5
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-8 − (-4))2 + (-5 − 1)2
d = √(-8 + 4)2 + (-5 − 1)2
d = √(-4)2 + (-6)2
d = √16 + 36
d = √52
d = √4 * 13
d = √4 * √13
d = 2√13
Therefore, the distance between the points (-4, 1) and (-8, -5) is equal to 2√13
Note: As a decimal number, 2√13 ≈ 7.211102550928
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-8 − (-4))2 + (-5 − 1)2
d = √(-8 + 4)2 + (-5 − 1)2
d = √(-4)2 + (-6)2
d = √16 + 36
d = √52
d = √4 * 13
d = √4 * √13
d = 2√13
Therefore, the distance between the points (-4, 1) and (-8, -5) is equal to 2√13
Note: As a decimal number, 2√13 ≈ 7.211102550928
