Answer:
y =  x - 8
 x - 8
Step-by-step 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 - 1 ← is in slope- intercept form
 x - 1 ← is in slope- intercept form
with slope m = - 
Given a line with slope m then the slope of a line perpendicular to it is
 = -
 = -  = -
 = -  =
 = 
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m =  and (a, b) = (9, - 2), thus
 and (a, b) = (9, - 2), thus
y - (- 2) =  (x - 9), that is
(x - 9), that is
y + 2 =  (x - 9) ← in point- slope form
(x - 9) ← in point- slope form
Distribute right side and rearrange
y + 2 =  x - 6 ( subtract 2 from both sides )
 x - 6 ( subtract 2 from both sides )
y =  x - 8 ← in slope- intercept form
 x - 8 ← in slope- intercept form