book Maths Puzzle Numerical Ability

The equation of the line passing through the origin and has a slope 2/5 is:

2x+5y=0 2x-5y=0 5x-2y=0 5x+2y=0

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how would you solve both of these equations. y^2 = 5x + 2x - 2. the next equation i don't understand is y= 3x^4 + 4x + 1. For both of these i need to know the y-intercept, the x-in what are the equation of the axis of syemmetry and tyhe coordinates of the vertex of the graph of y = 2x2 - 12x + 6 can i get the awnser in like 10 minutes