First put the equation, -7x + 6y = 8, into slope-intercept form.
-7x + 6y = 8
Add 7x to both sides of the equation.
6y = 7x + 8
Divide both sides by 6.
y = 7/6x + 8/6
Since you're being asked to find a line parallel to this equation, you'll need to have the same slope.
Now, using the general line of an equation:
y - y1 = m(x - x1)
Substitute your values.
y - (-4) = 7/6(x - (-1)
y + 4 = 7/6(x + 1)
y + 4 = 7/6x + 7/6
y = 7/6x - 17/6 is the solution.
