Answer:
y = -1/3 x + 32/3
Explanation:
Find an equation of line L
Given the equation bog L1 as y ,= 3x-4
The slope of the line L1 is 3
Since both lines are perpendicular, the product of their slope is -1, hence ;
LL1 =-1
3L = -1
L = -1/3
Slope of the required line is -1/3
Get the equation in point lope form
y-y0 = m(x-x0)
y-9 = -1/3(x-5)
3(y-9) = -(x-5)
3y-27 = -x+5
3y = -x+5+27
3y = -x+32
y = -1/3 x + 32/3
This gives the required equation