Given:
The point lies on the line is (1/9, -3).
The parallel line is -8y+4x=4.
Required:
We need to find the equation of the line.
Step-by-step explanation:
Consider the parallel line.

Subtract 4x from both sides.


Divide both sides by (-8).



Which is of the form

where slope,m=1/2.
We know that the slope of the parallel lines is the same.
The slope of the required line is m =1/2.
Consider the line equation.

Substitute x =1/9, y=-3, and m=1/2 in the equation to find the value of b.


Subtract 1/18 from both sides.




Substitute m=1/2 and b =-55/18 in the line equation.

Multiply both sides by 18.


Final answer:
