Python: Check whether two given lines are parallel or not

Last update on December 21 2024 07:18:46 (UTC/GMT +8 hours)

Parallel Lines Checker

Write a Python program to check whether two given lines are parallel or not.
Note: Parallel lines are two or more lines that never intersect. Parallel Lines are like railroad tracks that never intersect.
The General Form of the equation of a straight line is: ax + by = c
The said straight line is represented in a list as [a, b, c]
Example of two parallel lines:
x + 4y = 10 and x + 4y = 14

Sample Solution:

Python Code:

# Define a function named parallel_lines that takes two lines represented by lists (line1 and line2) as arguments.
def parallel_lines(line1, line2):
    # Check if the slopes of the two lines are equal.
    # The condition line1[0]/line1[1] == line2[0]/line2[1] compares the slopes of the lines.
    return line1[0]/line1[1] == line2[0]/line2[1]

# Test the function with different lines represented by lists and print the results.

# Test case 1
# 2x + 3y = 4, 2x + 3y = 8
print(parallel_lines([2,3,4], [2,3,8]))

# Test case 2
# 2x + 3y = 4, 4x - 3y = 8
print(parallel_lines([2,3,4], [4,-3,8]))

Sample Output:

True
False

Explanation:

Here is a breakdown of the above Python code:

• Function definition:
• The code defines a function named "parallel_lines()" that takes two lines represented by lists (line1 and line2) as arguments.
• Return Statement:
• The function returns 'True' if the slopes of the two lines are equal, indicating that the lines are parallel.
• Slope comparison:
• The condition line1[0]/line1[1] == line2[0]/line2[1] compares the slopes of the two lines.
• Test cases:
• The function is tested with different lines represented by lists using print(parallel_lines(...)).

Flowchart:

Python Code Editor:

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