To calculate the distance between a point and a line in Python, you can use the following formula:
distance = abs((a*x + b*y + c) / (sqrt(a*a + b*b)))
where x
and y
are the coordinates of the point, and a
, b
, and c
are the coefficients of the line in the standard form (ax + by + c = 0
).
Here is an example Python code that implements this formula:
from math import sqrt
def distance_point_line(x, y, a, b, c):
distance = abs((a*x + b*y + c) / sqrt(a*a + b*b))
return distance
You can then call this function with your own values for the point coordinates and line coefficients.
For example:
# Suppose we have the point (2, 3) and the line 3x + 4y - 12 = 0
x = 2
y = 3
a = 3
b = 4
c = -12
distance = distance_point_line(x, y, a, b, c)
print(distance) # Output: 1.8
This means that the distance between the point (2, 3) and the line 3x + 4y - 12 = 0 is approximately 1.8 units.
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Asked: 2022-10-02 11:00:00 +0000
Seen: 7 times
Last updated: Jan 21 '22
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