Answer:
y = -x/3 -5
Explanation:
when two lines are perpendicular, the relation between the slopes of the lines m1 and m2
m1m2 = -1
The general equation of a line is given as
y = mx + c where m is the slope and c is the intercept
Considering the given equation
6y-18x=12
6y = 18x + 12
Divide through by 6
y = 3x + 2
comparing with y = mx + c,
m = 3
hence the slope of the perpendicular line m2
= -1/3
Given that the line passes through the point (0, -5)
Using the equation y - y1 = m(x - x1) to find the equation
y - - 5 = -1/3(x - 0)
y + 5 = -x/3
y = -x/3 -5