Question

i need someone to tell me if my parallel line equation is correct and to tell me what the perpendicular line equation is. Thank you!

Answer 1

the parallel equation is correct

to calculate the perpendicular line you know m=9 of your given line

for two perpendicular lines the following is always true:
m₁*m₂=-1
insert your m:
9*m₂=-1
m₂=-1/9

so y=(-1/9)x+b is some perpendicular line

insert the point (2,-3):
-3=(-2/9)+b
(-27/9)-(-2/9)=b
(-27/9)+(2/9)=b
(-25/9)=b

so y=(-1/9)x-(25/9) is perpendicular and passes the given point