Answer:
[tex]y=3x+14[/tex]
Step-by-step explanation:
We will use [tex]y=mx+b[/tex]
m=slope
b=y intercept
Perpendicular line slopes have the negative reciprocal of the other slope
So we just flip the fraction and change the sign to find slope
so [tex]-\frac{1}{3}[/tex] becomes [tex]\frac{3}{1}[/tex] or [tex]3[/tex]
So we put that in the equation
[tex]y=3x+b[/tex]
Now to find b we fill in the point given (-2,8)
[tex]8=3(-2)+b\\8=-6+b[/tex]
Add 6 to both sides
[tex]14=b[/tex]
Now fill this into the equation
[tex]y=3x+14[/tex]
I hope this helps
