step 1
Find the slope of the given equation
we have
y= -1/5x +9
the slope is -1/5
step 2
Find the slope of the perpendicular line to the given equation
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal
so
the slope of the perpendicular line is m=5
step 3
Find the equation of the line in slope intercept form
y=mx+b
we have
m=5
point (2,-2)
substitute
-2=5(2)+b
solve for b
-2=10+b
b=-12
therefore
the equation is
