1. What is the slope of the tangent line to y= x^3- 3 at any x= x_0? What is the slope of the normal line at x= x_0?

What is the slope of 2x+ 18y- 9= 0? For what values of x_0 are the slope of the normal line and the slope of 2x+ 18y- 9= 0 the same?

2. What is the slope of y= 4x^2 at any x= x_0? What is the equation of a line through (1, 2) having that slope? Does that line contain the point (x_0, 4x_0^2)?