Answer:
[tex]\large\boxed{y = -4x + 7}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept → (0, b)
Parallel lines have the same slope. Therefore if given line is
[tex]y=9-4x=-4x+9[/tex]
then the slope of our line is [tex]m=-4[/tex].
We have the equation:
[tex]y=-4x+b[/tex]
The line passes through (0, 7) → b = 7.
Finally:
[tex]y=-4x+7[/tex]
