Respuesta :

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]