book Maths Puzzle Numerical Ability

What is the slope of the line that passes through (-2, -3) and (-5, 2)?

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book Other Question

How do you find eigenvectors? Can find eigenvalues but coming up with the vectors after the system has been solved, is eluding me. Need step by step instruction. Find the values of A and B in the following partial fraction decomposition.

11x-2/x^2+x-6= A/x+3+B/x-2