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Parametric ray intuition

We can parameterize the ray from CC through PP as a function of tt:
R(t)=(1−t)C+tP\qquad R(t) = (1-t)C + tP
Using the graph below, find the value of t∗t^* such that R(t∗)=IR(t^*) = I.
t∗=t^* =
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}
Created with RaphaëlCreated with Raphaël
1\small{1}2\small{2}3\small{3}4\small{4}5\small{5}6\small{6}7\small{7}8\small{8}9\small{9}-2\small{\llap{-}2}-3\small{\llap{-}3}-4\small{\llap{-}4}-5\small{\llap{-}5}-6\small{\llap{-}6}-7\small{\llap{-}7}-8\small{\llap{-}8}-9\small{\llap{-}9}1\small{1}2\small{2}3\small{3}4\small{4}5\small{5}6\small{6}7\small{7}8\small{8}9\small{9}-2\small{\llap{-}2}-3\small{\llap{-}3}-4\small{\llap{-}4}-5\small{\llap{-}5}-6\small{\llap{-}6}-7\small{\llap{-}7}-8\small{\llap{-}8}-9\small{\llap{-}9}yyxxCCPPII