Given Coordinates: x1 = -1 y1 = 3, x2 = 9 y2 = -8
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(9 − (-1))2 + (-8 − 3)2
d = √(9 + 1)2 + (-8 − 3)2
d = √102 + (-11)2
d = √100 + 121
d = √221
Therefore, the distance between the points (-1, 3) and (9, -8) is equal to √221
Note: As a decimal number, √221 ≈ 14.866068747319
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(9 − (-1))2 + (-8 − 3)2
d = √(9 + 1)2 + (-8 − 3)2
d = √102 + (-11)2
d = √100 + 121
d = √221
Therefore, the distance between the points (-1, 3) and (9, -8) is equal to √221
Note: As a decimal number, √221 ≈ 14.866068747319