To be parallel, all the equation needs is the same slope as y = 7x - 8. And to go through an x intercept of 4, all we need to do is make the equation equal -4 when you input 0 for y. Using this information, we can make this equation:
[tex]7x=y-4[/tex]
We can simplify this down by dividing by seven on both sides.
[tex]x=1/7y-4/7[/tex]
And that is your answer!