Equation of line & Gradient qus.

Sorry for so many questions. Im just stuck on these and they are meant to be simple!

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1) Find the equation of the line through the origin which is parallel to the line 4x - 27 - 5 = 0

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2) The equation of a curve is y = (x-3)(x+4). Find the gradient of the curve:

a) at the point the curve crosses the y-axis

b) at each of the points where the curve crosses the x-axis

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3) Find the coordinates of the point(s) on the curve y=3x^3 - x + 8 at which the gradient is

a) 8

b) 0

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4) The equation of a curve s=4t^2 +5t. Find the gradient of the normal at each of the points where the curve crosses the t-axis.

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5) If the gradient of a curve is y=2x^2 -3x -2. Find

a) the gradient at the point where x=0

b) the co-ordinates of the point where y=0

c) the gradient at each of the points found in b)