Plot horizontal and vertical lines passing through a point that is an intersection point of two lines in Matplotlib

To plot horizontal and vertical lines passing through a point, we can take the following steps

Set the figure size and adjust the padding between and around the subplots.
Create two lines using slopes (m1, m2) and intercepts (c1 and c2). Initialize the slopes and intercepts values.
Create x data points using numpy.
Plot x, m1, m2, c2 and c1 data points using plot() method.
Using intercepts and slopes values, find the point of intersection.
Plot horizontal and vertical lines with dotted linestyle.
Plot xi and yi points on the plot
To display the figure, use show() method.

Example

import matplotlib.pyplot as plt
import numpy as np
plt.rcParams["figure.figsize"] = [7.50, 3.50]
plt.rcParams["figure.autolayout"] = True
m1, c1 = 0.1, 2.0
m2, c2 = 2.0, -3.0
x = np.linspace(-10, 10, 500)
plt.plot(x, x * m1 + c1, 'red')
plt.plot(x, x * m2 + c2, 'green')
plt.xlim(-2, 8)
plt.ylim(-2, 8)
xi = (c1 - c2) / (m2 - m1)
yi = m1 * xi + c1
plt.axvline(x=xi, color='gray', linestyle='--')
plt.axhline(y=yi, color='gray', linestyle='--')
plt.scatter(xi, yi, color='black')
plt.show()