book Maths Puzzle Numerical Ability

which of the following points lie on the graph of the function X+3y=-7

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book Other Question

Hello to all!

Could someone kindly explain to me clearly, how to find the Vertex and intercepts of:

y = -2x^2 + 8x.

The book's answers are: Vertex(2,8):, intercepts are:
The nut house sells walnuts for $4 a pound and cashew for $7 a pound. how many pounds of cashews shound be mixed with 10 pounds of walnuts to obtain a mixture htat sells for $5.5 a pound?