exam Maths Puzzle Numerical Ability

i need a definition of slope and the only thing that the webs tell me is how to do it, and i need a definition

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exam Other Question

I don't understand how to do this:

Find the equation of the parabola with vertex (3/2,-1/2), horizontal axis of symmetry, + passing through (-3,1). Write the equation in stand
Find the number of distinguisable permutations of the letters in the word PEPPERY.