Given Coordinates: x1 = -4 y1 = 5, x2 = 6 y2 = 6
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(6 − (-4))2 + (6 − 5)2
d = √(6 + 4)2 + (6 − 5)2
d = √102 + 12
d = √100 + 1
d = √101
Therefore, the distance between the points (-4, 5) and (6, 6) is equal to √101
Note: As a decimal number, √101 ≈ 10.049875621121
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(6 − (-4))2 + (6 − 5)2
d = √(6 + 4)2 + (6 − 5)2
d = √102 + 12
d = √100 + 1
d = √101
Therefore, the distance between the points (-4, 5) and (6, 6) is equal to √101
Note: As a decimal number, √101 ≈ 10.049875621121