Calculate the Slope in Python

Calculate the Slope in Python

Vaibhhav Khetarpal Aug-10, 2021 Jul-01, 2021 Python Python Math
  1. Use the User-Defined Function to Calculate the Slope of a Given Line in Python
  2. Use the SciPy Module to Calculate the Slope of a Given Line in Python
  3. Use the NumPy Module to Calculate the Slope of a Given Line in Python

In Mathematics, a slope of a given line is a value that computes its steepness. It also helps in characterizing the direction of a given line. The scope of a line can also be calculated using the Python programming language.

This article will demonstrate the different methods available to calculate the slope of a given line in Python.

Use the User-Defined Function to Calculate the Slope of a Given Line in Python

The mathematical formula for the slope of a given line is shown below.

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

We can create a user-defined function that implements this given formula for a given line.

The following code uses a user-defined function slopee to calculate the slope of a given line in Python.

def slopee(x1,y1,x2,y2):
    x = (y2 - y1) / (x2 - x1)
    return x

print(slopee(4,5,8,10))

The code above provides the following output.

1.25

The function in the code above uses the general formula for the line’s slope and then returns its value.

Use the SciPy Module to Calculate the Slope of a Given Line in Python

SciPy, an abbreviation for Scientific Python, is a free-to-use and open-source library utilized to do technical and scientific computing of data in Python. Additionally, SciPy is heavily dependent on the NumPy library. Apart from NumPy, SciPy contains a lot more modules used for stats, linear algebra, image processing, and optimization.

Here, we will use one such function: the linregress() function utilized to compute the linear least-squares regression for two given one-dimensional arrays of the same length. You can find the line’s slope using the linregress() function if we define the x and y coordinates as arrays.

The following code uses the linregress() method of the SciPy module to calculate the slope of a given line in Python.

from scipy.stats import linregress
x = [4, 8]
y = [5, 10]
slope, intercept, r_value, p_value, std_err = linregress(x, y)
print(slope)

The code above provides the following output.

1.25

The slope of the line is returned in a float datatype.

Use the NumPy Module to Calculate the Slope of a Given Line in Python

NumPy, an abbreviation for Numerical Python, is a library provided by Python, which deals with arrays and gives functions for operating on these arrays.

The np.polyfit() function, contained within the NumPy library, can be utilized to find and return the slope and intercept of the given particular line with the set of coordinates of a line defined as arrays.

The following code uses the np.polyfit() function to calculate the slope of a given line in Python.

import numpy as np
x = [4, 8]
y = [5, 10]
slope, intercept = np.polyfit(x,y,1)
print(slope)

The code above provides the following output.

1.2499999999999993

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