Answer:
[tex]y = \frac{1}{12}x + \frac{4}{3}[/tex]
Step-by-step explanation:
slope of perpendicular line: m = [tex]\frac{1}{12}[/tex]
solve for b:
[tex]1 = \frac{1}{12}(-4) + b[/tex]
solve parenthesis:
[tex]1 = -\frac{1}{3}+b[/tex]
add [tex]\frac{1}{3}[/tex] to both sides:
[tex]b = \frac{4}{3}[/tex]
final equation: [tex]y = \frac{1}{12}x + \frac{4}{3}[/tex]
