Given Coordinates: x1 = -4 y1 = 1, x2 = 1 y2 = 4
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(1 − (-4))2 + (4 − 1)2
d = √(1 + 4)2 + (4 − 1)2
d = √52 + 32
d = √25 + 9
d = √34
Therefore, the distance between the points (-4, 1) and (1, 4) is equal to √34
Note: As a decimal number, √34 ≈ 5.8309518948453
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(1 − (-4))2 + (4 − 1)2
d = √(1 + 4)2 + (4 − 1)2
d = √52 + 32
d = √25 + 9
d = √34
Therefore, the distance between the points (-4, 1) and (1, 4) is equal to √34
Note: As a decimal number, √34 ≈ 5.8309518948453
