Given Coordinates: x1 = -4 y1 = 2, x2 = 2 y2 = -1
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(2 − (-4))2 + (-1 − 2)2
d = √(2 + 4)2 + (-1 − 2)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 (-4, 2) and (2, -1) 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 = √(2 − (-4))2 + (-1 − 2)2
d = √(2 + 4)2 + (-1 − 2)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 (-4, 2) and (2, -1) is equal to 3√5
Note: As a decimal number, 3√5 ≈ 6.7082039324994
