Given Coordinates: x1 = -1 y1 = 2, 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 − (-1))2 + (-8 − 2)2
d = √(4 + 1)2 + (-8 − 2)2
d = √52 + (-10)2
d = √25 + 100
d = √125
d = √25 * 5
d = √25 * √5
d = 5√5
Therefore, the distance between the points (-1, 2) and (4, -8) is equal to 5√5
Note: As a decimal number, 5√5 ≈ 11.180339887499
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(4 − (-1))2 + (-8 − 2)2
d = √(4 + 1)2 + (-8 − 2)2
d = √52 + (-10)2
d = √25 + 100
d = √125
d = √25 * 5
d = √25 * √5
d = 5√5
Therefore, the distance between the points (-1, 2) and (4, -8) is equal to 5√5
Note: As a decimal number, 5√5 ≈ 11.180339887499
