For part a, recognize that the slope of the two lines will be equal. I find it helpful to put the equations into the form :

L1:

So the slope of line 1 is just:

L2:

So the slope of line 2 is just:

Since the slopes are equal to each other, we can find k quite easily:

Now solve for k.

For part b, we know that the slope is going to be the same as the slope of line 2:

Where k is equal to

And we have been told that the x intercept is 4 greater than that of line 2. So, start by finding the x intercept of line 2.

To find that, simply plug in 0 for y.

And solve for x. Add 4 to that number and you have the x intercept for line 3.

Now that you have the x intercept, to find the y intercept you just set up your equation in the form with the values ({x intercept},0) and solve for b.