Answer
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Work Step by Step
# 11.15 (Geometry: same line?) Exercise 6.19 gives a function for testing whether three
# points are on the same line. Write the following function to test whether all the
# points in the points list are on the same line:
# def sameLine(points):
# Write a program that prompts the user to enter five points and displays whether
# they are on the same line.
def sameLine(points):
x0 = points[0]
y0 = points[1]
x4 = points[-2]
y4 = points[-1]
for i in range(2, len(points) - 1, 2):
x = points[i]
y = points[i + 1]
d = (x - x0) * (y4 - y0) - (x4 - x0) * (y - y0)
if d != 0:
return False
return True
points = input("Enter five points: ").split()
points = [eval(x) for x in points]
if sameLine(points):
print("The five points are on the same line")
else:
print("The five points are not on the same line")
