exam Maths Puzzle Numerical Ability

Find the slope of any line perpendicular to the line through points (9, 12) and (10, 4).
I got -8 but I am not sure if it is right.

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can someone please help me i am no good with quadratics i have been practicing for a week and feel that i am wrong.

x^2=-5x+8
(x+3)(x+4)=0
x=-3
x^2=16
x^2=16=0 Solve the equation: 5n-2(n-2)= -11