Kelly, this is the solution:
We have the following system of equations:
y = 1/4x + 4
x + y = - 1
___________
Solving it algebraically:
x + (1/4x + 4) = -1
5/4x + 4 = -1
5/4x = -1 - 4
5/4x = -5
x = -4
-4 + y = -1
y = -1 + 4
y = 3
Solving it graphically: