Given Coordinates: x1 = -1 y1 = 4, x2 = 0 y2 = 6
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(0 − (-1))2 + (6 − 4)2
d = √(0 + 1)2 + (6 − 4)2
d = √12 + 22
d = √1 + 4
d = √5
Therefore, the distance between the points (-1, 4) and (0, 6) is equal to √5
Note: As a decimal number, √5 ≈ 2.2360679774998
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(0 − (-1))2 + (6 − 4)2
d = √(0 + 1)2 + (6 − 4)2
d = √12 + 22
d = √1 + 4
d = √5
Therefore, the distance between the points (-1, 4) and (0, 6) is equal to √5
Note: As a decimal number, √5 ≈ 2.2360679774998