Question

A line has this equation: y = -1x/6-8 Write an equation for the perpendicular line that goes through (-6, -2).

Answer 1

When two lines are perpendicular their slopes are opposite. It mearn that two perpendicular lines have slopes:

m=n

m=-n

You have the equation:

`y=-(1)/(6)x-8`

the perpendicular function to it have then a slope of:

m=1/6

Use the point to find the value of the b in the equation:

`y=mx+b`

( -6, -2)

x= -6

y= -2

m=1/6

`-2=(1)/(6)(-6)+b`

you clear the b:

`-2=-(6)/(6)+b`
`-2=-1+b`
`-2+1=b`
`-1=b`

The yo have: m=1/6 b=-1

The equation is:
`y=(1)/(6)x-1`