the equation of the line is
y = -3x + 6
slope is m = -3
as we know that for parallel lines, the slope is always equal.
so the slope of the new line is also m = -3
it is also passing through (-4,9)
so the equation of the line i s
[tex]y-9=m(x-(-4))[/tex]
m= -3
[tex]y-9=-3(x+4)_{}[/tex]
[tex]\begin{gathered} y-9=-3x-12 \\ y=-3x-12+9 \\ y=-3x-3 \end{gathered}[/tex]
so the answer is y = -3x - 3
