Answer:
Option A. y= -1/5x + 5
Step-by-step explanation:
step 1
Find the slope of the given line
we have
y=5x-2
The slope m is
m=5
step 2
Find the slope of a line perpendicular to the given line
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is -1)
m1*m2=-1
we have
m1=5
(5)*m2=-1
m2=-1/5
therefore
The equation of a line perpendicular to the given line could be
y= -1/5x + 5
