Given Coordinates: x1 = -2 y1 = -4, x2 = 4 y2 = -6
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(4 − (-2))2 + (-6 − (-4))2
d = √(4 + 2)2 + (-6 + 4)2
d = √62 + (-2)2
d = √36 + 4
d = √40
d = √4 * 10
d = √4 * √10
d = 2√10
Therefore, the distance between the points (-2, -4) and (4, -6) is equal to 2√10
Note: As a decimal number, 2√10 ≈ 6.3245553203368
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(4 − (-2))2 + (-6 − (-4))2
d = √(4 + 2)2 + (-6 + 4)2
d = √62 + (-2)2
d = √36 + 4
d = √40
d = √4 * 10
d = √4 * √10
d = 2√10
Therefore, the distance between the points (-2, -4) and (4, -6) is equal to 2√10
Note: As a decimal number, 2√10 ≈ 6.3245553203368