Write an equation for a line perpendicular to y = 5 x − 2 and passing through the point (10,-6)

Answer 1

a perpendicular line has slope = negative inverse of the given equation. take 5/1, flip it upside down and change its sign to get -1/5

y= -x/5 + b

plug in the point to solve for b

-6 =-(10)/5 +b

b = -6 +2 = -4

y = -x/5 -4 is the perpendicular line through the point (10,-6)