Step-by-step explanation:
For the function: x + 4y ≥ 0
Rewrite:
4y ≥ -x
y ≥ -x/4
As the inequality is "≥", the line should be solid.
Dashed line is used for "<" or ">" inequalities.
Points for y = -x/4 are (-4, 1), (0, 0), (4, -1). Use a ruler and graph a solid line through them and shade the portion above the line.