Please show steps. 1) Find a slope intercept equation of the line which is: a) Parallel to y= -1/2x +5, passing through (-1,6). b) Perpendicular to...

Please show steps.

1) Find a slope intercept equation of the line which is:

        a) Parallel to y= -1/2x +5, passing through (-1,6).

        b) Perpendicular to y= 3x - 6 passing through (2, -3).

2) Compute the average rate of f(x) = 1/x over [1,5]

3) Graph the function f(x) = 3|x+4| - 4. Find the zero, x- and y- intercepts, if any exit. Determine the domain and the range of this function. From the graph, list the intervals on which the function is increasing, decreasing, and find the relative and absolute extrema, if they exist.

4) Sketch the graph of f(x) = { x2 if x ≤ 0

                                              {2x if x > 0

And then graph the transformed functions

a.     2f(2 - x)

b.     2 - f(x)