@@ -18,7 +18,7 @@ def determinant(a: float, b: float, c: float, d: float) -> float:
1818# Function to compute the line equation coefficients from two points
1919def line_coefficients (p1 : list [float ] | tuple , p2 : list [float ] | tuple ) -> tuple :
2020 """
21- Computes the coefficients A, B, C of the line equation Ax + By + C = 0
21+ Computes the coefficients A, B, C of the line equation Ax + By + C = 0
2222 from two points.
2323
2424 Args:
@@ -27,7 +27,25 @@ def line_coefficients(p1: list[float] | tuple, p2: list[float] | tuple) -> tuple
2727
2828 Returns:
2929 tuple: Coefficients (A, B, C) of the line equation.
30+
31+ Examples:
32+ # Vertical line (x = constant)
33+ >>> line_coefficients([1, 0], [1, 2])
34+ (1, 0, 1)
35+
36+ # Horizontal line (y = constant)
37+ >>> line_coefficients([0, 1], [2, 1])
38+ (0.0, -1, 1)
39+
40+ # Diagonal line (positive slope)
41+ >>> line_coefficients([0, 0], [1, 1])
42+ (1.0, -1, 0)
43+
44+ # Diagonal line (negative slope)
45+ >>> line_coefficients([0, 1], [1, 0])
46+ (-1.0, -1, 1)
3047 """
48+
3149 if p1 [0 ] == p2 [0 ]: # Vertical line
3250 return 1 , 0 , p1 [0 ]
3351 else : # Non-vertical line
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