Find b for the parallel line

Question

The equation of the line that passes through the point
(−9,8)
and is parallel to the line having the equation
Ax+By=C
with B≠0
can be written in slope-intercept form as 
y=mx+b
. Compute
m
and
b
in terms of
A,B
and 
C

Answer 1

Ax + By = C

By = -Ax + C

y = -Ax/B + C/B

 

slope of perpendicular is B/A

 

y = Bx/A + b

8 = -9B/A + b