First I would isolate the "y"/make the "y" positive.
-y ≤ 4x
Divide -1 on both sides (if you multiply or divide by a negative number/variable, you flip the sign [< , > , ≤ , ≥])
y ≥ -4x
You can think of this inequality like the slope intercept form: y=mx + b
"m" is the slope, "b" is the y-intercept(when x = 0). The only difference is that the sign is not an equal sign. The slope is -4, and since you don't have a y-intercept, you start from the origin. So your line is decreasing.
When the sign is ≤ or ≥ ("less/greater than or equal to"), the line is a solid line.
When the sign is < or >, the line is a dotted line.
Based on the inequality, the "y" is greater than or equal to the equation(-4x), so the shaded area is above the line, and the line is solid.
Your answer is A
