Given Coordinates: x1 = 1 y1 = 4, x2 = -4 y2 = -1
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-4 − 1)2 + (-1 − 4)2
d = √(-5)2 + (-5)2
d = √25 + 25
d = √50
d = √25 * 2
d = √25 * √2
d = 5√2
Therefore, the distance between the points (1, 4) and (-4, -1) is equal to 5√2
Note: As a decimal number, 5√2 ≈ 7.0710678118655
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-4 − 1)2 + (-1 − 4)2
d = √(-5)2 + (-5)2
d = √25 + 25
d = √50
d = √25 * 2
d = √25 * √2
d = 5√2
Therefore, the distance between the points (1, 4) and (-4, -1) is equal to 5√2
Note: As a decimal number, 5√2 ≈ 7.0710678118655
