Answer:
The equation of the line is [tex]y = -\frac{x}{4} - 3[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept(the value of y when x = 0).
Perpendicular lines:
If two lines are perpendicular, the multiplication of their slopes is -1.
Line perpendicular to y = 4x + 4.
This line has slope 4, so our line will have slope:
[tex]4m = -1[/tex]
[tex]m = -\frac{1}{4}[/tex]
So
[tex]y = -\frac{x}{4} + b[/tex]
Through (0, -3)
This means that [tex]b = -3[/tex]
So
[tex]y = -\frac{x}{4} - 3[/tex]
