The location of the point on the line from the beginning at the specified distance

point_distance.py

import math

"""
A(1,0)        C(?)      B(5,5)
*-------------*---------*
AC=5
"""


import math

def find_point(a, b, distance):
    dx = b[0] - a[0]
    dy = b[1] - a[1]
    dis = math.sqrt(dx**2 + dy**2)
    k = distance / dis
    c = (a[0] + dx * k, a[1] + dy * k)
    return c
"""  
This function can be used like this:
"""

a = (1, 0)
b = (5, 5)
distance = 5
c = find_point(a, b, distance)
print(c)


"""
In this version, math.hypot is used instead of math.sqrt(dx**2 + dy**2) 
to calculate the distance between the two points a and b. 
math.hypot is a more efficient and concise way to calculate the Euclidean distance between two points.
"""

def find_point(a, b, distance):
    dx, dy = b[0] - a[0], b[1] - a[1]
    dis = math.hypot(dx, dy)
    k = distance / dis
    return (a[0] + dx * k, a[1] + dy * k)