Question

Write an equation of the line that passes through point P and isperpendicular to the line with the given equation.P(0, 0), y = –9x – 1

Answer 1

First, we are going to calculate the slope of a line that is perpendicular to the one we are given.

Let m1 be the slope of the line y = -9x - 1

`m1=-9`

The conditions for two lines to be perpendicular must be as follows

`m1m2=-1`
`m2=-1/m1`
`m2=-(1)/(-9)=(1)/(9)`

Now we need to calculate the y-axis cut (b)

`b=y-m2x`
`b=0-(1)/(9)\cdot(0)`
`b=0`

The equation of the line would be the following

`y=(1)/(9)x`