Given Coordinates: x1 = -5 y1 = -6, x2 = -9 y2 = -4
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-9 − (-5))2 + (-4 − (-6))2
d = √(-9 + 5)2 + (-4 + 6)2
d = √(-4)2 + 22
d = √16 + 4
d = √20
d = √4 * 5
d = √4 * √5
d = 2√5
Therefore, the distance between the points (-5, -6) and (-9, -4) is equal to 2√5
Note: As a decimal number, 2√5 ≈ 4.4721359549996
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-9 − (-5))2 + (-4 − (-6))2
d = √(-9 + 5)2 + (-4 + 6)2
d = √(-4)2 + 22
d = √16 + 4
d = √20
d = √4 * 5
d = √4 * √5
d = 2√5
Therefore, the distance between the points (-5, -6) and (-9, -4) is equal to 2√5
Note: As a decimal number, 2√5 ≈ 4.4721359549996