book Maths Puzzle Numerical Ability

What is the shortest distance from the point (-1, 11/3) to the line 2y=3x+6?

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book Other Question

Let T be a linear operator on a finite-dimensional vector space V, and let
b (beta) be an ordered basis for V. Prove that l (lamda) is an eigenvalue of T if and only if l (lamda) is an eigenvalue of [T]b (beta).
what dose it mean by the nth term