Given Coordinates: x1 = -1 y1 = 4, x2 = 1 y2 = -1
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(1 − (-1))2 + (-1 − 4)2
d = √(1 + 1)2 + (-1 − 4)2
d = √22 + (-5)2
d = √4 + 25
d = √29
Therefore, the distance between the points (-1, 4) and (1, -1) is equal to √29
Note: As a decimal number, √29 ≈ 5.3851648071345
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(1 − (-1))2 + (-1 − 4)2
d = √(1 + 1)2 + (-1 − 4)2
d = √22 + (-5)2
d = √4 + 25
d = √29
Therefore, the distance between the points (-1, 4) and (1, -1) is equal to √29
Note: As a decimal number, √29 ≈ 5.3851648071345
