Question

Find the slope of a line perpendicular to the line

36y - 4x = 18.

A perpendicular line would have slope m =
The solution is

Answer 1

the answer is:
y=—1/9x+1/2


this is because you would turn the given equation into slope intercept form (y=mx+b). you would add the 4 to both sides and get 36y=4x+18. then you would divide everything by 36 and end up with y=1/9x+1/2. no you have to find an equation that is perpendicular to this equation. an easy way to do this is to put a negative in for the slope (mx). so your perpendicular equation can be y=—1/9x+1/2

Answer 2

-36x-4y+72=0

Explanation:

given line

36y-4x=18

or 4x-36y+18=0.......(i)

comparing(i) with ax+by+c=0

we get

a=4

b= -36

c=18

we know

line parallel to (i) is

bx-ay+k=0

where k = ac

then

-36x-4y+4×18=0

therefore -36x-4y+72=0 is the required equation