Anything that contains the line must contain every point on the line, so "a point
on the line" doesn't give us any more information. You're just asking how many
planes can contain the line.
Now imagine setting a wood panel down on a tight-rope. How many different ways
can it set there before it falls off ? A lot, right ?
An infinite number of planes can all contain your line. (And all of its points.)
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Given a line, there are an infinite number of different planes that it lies in.
If 2 points determine a line, then a line contains infinitely many planes.
one
an infinite number; no limit
Only one plane can contain three specific points.