Answer:
[tex]y=\frac{1}{4}x-1[/tex]
Step-by-step explanation:
Parallel lines always have equal slopes. Therefore, this eliminates two options and we just need to find the y-intercept. Since the line passes through [tex](-4,-2)[/tex], we have:
[tex]-2=\frac{1}{4}(-4)+b,\\b=-1[/tex].
Therefore, the equation of the line is:
[tex]y=\frac{1}{4}x-1[/tex]
