How do you find the slope perpendicular to y=6x+5?

The slope of a perpendicular line is the opposite reciprocal

so the slope, 6, will become -1/6

to find the perpendicular equation to another line, you need to find the inverse. (Basically, switch the x and y around and solve for y)

f(x)=6x+5

y=6x+5

x=6y+5

x-5=6y

y=(x-5)/6

f⁻¹(x)=(1/6)x-(5/6) the bolded number is the new, perpendicular slope! ^^

after simplifying it i got: -36.25 as my answer. hope that !