Answer:
y = - 
 x + 1
Explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 
 x - 8 ← is in slope- intercept form
with slope m = 

given a line with slope m then the slope of a line perpendicular to it is
 = - 
 = - 
 = - 
 , then
y = - 
 x + c ← is the partial equation of line h
to find c substitute (3, - 9 ) into the partial equation
- 9 = - 10 + c ⇒ c = - 9 + 10 = 1
y = - 
 x + 1 ← equation of line h