exam Maths Puzzle Numerical Ability

What is the slope and y-intercept of the line? y=-2/3x-12

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Ok i have to solve for x in this equation:
x^2 + (x+7)^2 = 13^2

this is my work but its wrong:
2x^2 + 49 = 169
2x^2 - 120 = 0
square root of (0- 4*-120*2) over 4

please help
determine the zeros of each quadratic relation
a) A=w(20-w)

b) y=2x(5x+6)