Given Coordinates: x1 = -2 y1 = -5, x2 = 4 y2 = -8
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(4 − (-2))2 + (-8 − (-5))2
d = √(4 + 2)2 + (-8 + 5)2
d = √62 + (-3)2
d = √36 + 9
d = √45
d = √9 * 5
d = √9 * √5
d = 3√5
Therefore, the distance between the points (-2, -5) and (4, -8) is equal to 3√5
Note: As a decimal number, 3√5 ≈ 6.7082039324994
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(4 − (-2))2 + (-8 − (-5))2
d = √(4 + 2)2 + (-8 + 5)2
d = √62 + (-3)2
d = √36 + 9
d = √45
d = √9 * 5
d = √9 * √5
d = 3√5
Therefore, the distance between the points (-2, -5) and (4, -8) is equal to 3√5
Note: As a decimal number, 3√5 ≈ 6.7082039324994