exam Maths Puzzle Numerical Ability

how do you find f(x)=ax+b in which f(2)=1 and f(-3(=11?
from mathematics for the international student:Mathematics SL-section 1c

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Solve by using the quadratic formula. 3x^2=11x+4
factor the following :

1) x2 – 16x + 63
2) 4x2 + 34x + 42
3) 16x2 + 40x + 25