book Maths Puzzle Numerical Ability

#16 find the slope of any line perpendicular to the line through (0,5) and (-3,-4)

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I can not figure out for the life of me how to do this. I have tried so many times, please, HELP.

Solve:
3log(5x)+4log(2x)=3
log(125x^3)+log(16x^4)=3

Have I done it right so far? For some reason it seems wrong.Please help me!! Write each rational expression in lowest terms:

1. x^2(x+1) / x(x+1)

2. (x+4)(x-3) / (x+5)(x+4)

3. 5r-20 / 3r-12

4. 5s-25 / s^2 - 25