Given Coordinates: x1 = -1 y1 = 8, x2 = 4 y2 = 1
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(4 − (-1))2 + (1 − 8)2
d = √(4 + 1)2 + (1 − 8)2
d = √52 + (-7)2
d = √25 + 49
d = √74
Therefore, the distance between the points (-1, 8) and (4, 1) is equal to √74
Note: As a decimal number, √74 ≈ 8.6023252670426
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(4 − (-1))2 + (1 − 8)2
d = √(4 + 1)2 + (1 − 8)2
d = √52 + (-7)2
d = √25 + 49
d = √74
Therefore, the distance between the points (-1, 8) and (4, 1) is equal to √74
Note: As a decimal number, √74 ≈ 8.6023252670426