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Parametric ray intuition

Problem

We can parameterize the ray from C through P as a function of t:
R, left parenthesis, t, right parenthesis, equals, left parenthesis, 1, minus, t, right parenthesis, C, plus, t, P
If R, left parenthesis, t, right parenthesis, equals, I and t increases, then I moves
C.
You can use the interactive diagram below for help:
Stuck?
Stuck?