Python Program to Find Intersection of Two Lines

Created at January 2024 using the Python Code Generator tool.

Python

Prompt

Program to find intersection of two lines
Python

Result

Certainly! Below is a Python program that calculates the intersection point of two lines, given their coefficients in the form of y = mx + c, where m is the slope and c is the y-intercept.

def find_intersection(m1, c1, m2, c2):
    """
    Calculate the intersection point of two lines given by the equations:
    y = m1*x + c1 and y = m2*x + c2.

    Parameters:
    m1 (float): Slope of the first line.
    c1 (float): Y-intercept of the first line.
    m2 (float): Slope of the second line.
    c2 (float): Y-intercept of the second line.

    Returns:
    tuple: A tuple (x, y) representing the intersection point, or None if the lines are parallel.
    """

    # Check if lines are parallel (slopes are equal)
    if m1 == m2:
        print("The lines are parallel and do not intersect.")
        return None

    # Calculate the x-coordinate of the intersection point
    x = (c2 - c1) / (m1 - m2)

    # Calculate the y-coordinate of the intersection point using the equation of the first line
    y = m1 * x + c1

    return (x, y)

# Example usage:
if __name__ == "__main__":
    # Coefficients for the first line (y = m1*x + c1)
    m1 = 2
    c1 = 3

    # Coefficients for the second line (y = m2*x + c2)
    m2 = -1
    c2 = 1

    # Find the intersection point
    intersection = find_intersection(m1, c1, m2, c2)

    # Print the result
    if intersection:
        print(f"The intersection point of the lines is: {intersection}")
Python

This program defines a function find_intersection that takes the slopes and y-intercepts of two lines as arguments and returns the intersection point as a tuple (x, y). If the lines are parallel (i.e., they have the same slope), the function prints a message and returns None. The example usage at the bottom demonstrates how to call the function with specific line coefficients and print the result.