Given Coordinates: x1 = 0 y1 = 3, 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 − 0)2 + (-4 − 3)2
d = √(-1)2 + (-7)2
d = √1 + 49
d = √50
d = √25 * 2
d = √25 * √2
d = 5√2
Therefore, the distance between the points (0, 3) and (-1, -4) 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 = √(-1 − 0)2 + (-4 − 3)2
d = √(-1)2 + (-7)2
d = √1 + 49
d = √50
d = √25 * 2
d = √25 * √2
d = 5√2
Therefore, the distance between the points (0, 3) and (-1, -4) is equal to 5√2
Note: As a decimal number, 5√2 ≈ 7.0710678118655
