EXPLANATION
Given the expression x + 4y = -4
Subtracting -x to both sides:
4y = -x -4
Dividing both sides by 4:
y= -(1/4)x -1
The y-intercept is at x=0, y= -3
Then, we can get the x-intercept by equaling y=0 as shown as follows:
0 = -(1/4)x - 1
Adding +1 to both sides:
1 = -(1/4)x
Multiplying both sides by -4:
-4 = x
Switching sides:
x = -4
The intercepts are:
y-intecept: -3
x-intercept : -4
Finally, the graph is as follows:
