Answer:
Option A. -(
)
Step-by-step explanation:
Equation of a given line is a + 4b = 0 or b = -
This in the form of y = mx + b, which is slope-intercept form.
Here slope of the line is (
).
Or tanθ = 
This line coincides with the terminal side of the angle in standard position where cosθ > 0
Since tanθ = 
and sinθ = 
Hypotenuse = 
= 
= 
Since tanθ is negative and cosθ > 0 that means θ lie in fourth quadrant.
Therefore, sinθ will be negative.
[
]
sinθ = -
= -
Answer will be option A.