Finding such an equation is very easy, so study the method I use and learn it. Don't just take the answer.
The best way to start is rewriting the given function in slope-intercept form.
6x-7y+14 = 0 (I'm assuming it's set equal to 0; you didn't specify!)
--> 6x - 7y = -14
--> -7y = -6x - 14
--> y = (6/7)x + 2
(6/7) is the slope of the line. Parallel lines have the same slope, so we know the equation of the line you want will follow this format:
y = (6/7)x + b
Using the point given, we can solve for b, the y-intercept.
(-4 , 8)
8 = (6/7)*-4 + b
Solve for b and replace it in
y = (6/7)x + b
and you have the equation of the line.