Answer: [tex]y=-4x-6[/tex]
Step-by-step explanation:
Given
The equation of line is [tex]y=-4x-3[/tex]
The line which is parallel to the given line is [tex]y=-4x+c[/tex]
and shifted by 3 units down i.e. its y-intercept is 3 units below the given line
[tex]\therefore y=-4x-3-3\\\Rightarrow y=-4x-6[/tex]