Python Program to Find Slope of a Line

In the previous article, we have discussed Python Program for Section Formula (Point that Divides a Line in Given Ratio)
Given two points of a line, the task is to find the slope of a given line.

Let A(x₁,y₁) and B(x₂,y₂) are the two points on a straight line.

Formula :

Formula to find the slope of a given line is:

slope=(y2-y1)/(x2-x1)

Examples:

Example1:

Input:

Given First Point = ( 5, 3  ) 
Given Second Point = ( 1, 2 )

Output:

The slope of the line for the given two points is :
0.25

Example2:

Input:

Given First Point = ( 5, 1 ) 
Given Second Point = ( 6, 2 )

Output:

The slope of the line for the given two points is :
1.0

Program to Find Slope of a Line in Python

Below are the ways to find the slope of a given line in python:

Using Mathematical Formula (Static Input)
Using Mathematical Formula (User Input)

Method #1: Using Mathematical Formula (Static Input)

Approach:

Give the first point as static input and store it in two variables.
Give the second point as static input and store it in another two variables.
Pass the given two points of a line i.e, a1, a2, b1, b2, as the arguments to the Find_Slope() function.
Create a function to say Find_Slope() which takes the given two points of a line i.e, a1, a2, b1, b2 as the arguments and returns the slope of the given line.
Inside the function, calculate the slope of the line with the given two points using the above mathematical formula and convert it into float using the float() function.
Store it in a variable.
Return the above result i.e, the slope of the line.
The Exit of the Program.

Below is the implementation:

# Create a function to say Find_Slope() which takes the given two points of a line i.e,
# a1, a2, b1, b2 as the arguments and returns the slope of the given line.


def Find_Slope(a1, a2, b1, b2):
    # Inside the function, calculate the slope of the line with the given two points
    # using the above mathematical formula and convert it into float using the
    # float() function.

    # Store it in a variable.
    rslt_slope = (float)(b2-b1)/(a2-a1)
    # Return the above result i.e, the slope of the line.
    return rslt_slope


# Give the first point as static input and store it in two variables.
a1 = 5
b1 = 3
# Give the second point as static input and store it in another two variables.
a2 = 1
b2 = 2
print("The slope of the line for the given two points is :")
# Pass the given two points of a line i.e, a1, a2, b1, b2, as the arguments to the
# Find_Slope() function.
print(Find_Slope(a1, a2, b1, b2))

Output:

The slope of the line for the given two points is :
0.25

Method #2: Using Mathematical Formula (User Input)

Approach:

Give the first point as user input using map(),int(),split() functions and store it in two variables.
Give the second point as user input using map(),int(),split() functions and store it in two variables.
Pass the given two points of a line i.e, a1, a2, b1, b2, as the arguments to the Find_Slope() function.
Create a function to say Find_Slope() which takes the given two points of a line i.e, a1, a2, b1, b2 as the arguments and returns the slope of the given line.
Inside the function, calculate the slope of the line with the given two points using the above mathematical formula and convert it into float using the float() function.
Store it in a variable.
Return the above result i.e, the slope of the line.
The Exit of the Program.

Below is the implementation:

# Create a function to say Find_Slope() which takes the given two points of a line i.e,
# a1, a2, b1, b2 as the arguments and returns the slope of the given line.


def Find_Slope(a1, a2, b1, b2):
    # Inside the function, calculate the slope of the line with the given two points
    # using the above mathematical formula and convert it into float using the
    # float() function.

    # Store it in a variable.
    rslt_slope = (float)(b2-b1)/(a2-a1)
    # Return the above result i.e, the slope of the line.
    return rslt_slope


# Give the first point as user input using map(),int(),split() functions
# and store it in two variables.
a1, b1 = map(int, input(
    'Enter some random first point values separated by spaces = ').split())
# Give the second point as user input using map(),int(),split() functions
# and store it in two variables.
a2, b2 = map(int, input(
    'Enter some random second point values separated by spaces = ').split())
print("The slope of the line for the given two points is :")
# Pass the given two points of a line i.e, a1, a2, b1, b2, as the arguments to the
# Find_Slope() function.
print(Find_Slope(a1, a2, b1, b2))

Output:

Enter some random first point values separated by spaces = 5 1
Enter some random second point values separated by spaces = 6 2
The slope of the line for the given two points is :
1.0

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