A line passes through the point `(2,2)` and is perpendicular to the line `3x + y =3,` then its `y`-intercept is

Options

A. `(1)/(3)`
B. `(2)/(3)`
C. `1`
D. `(4)/(3)`

Answer

D

Explanation

Given line is `y=3-3x`.
Then , slope of the required line `=(1)/(3)`
`because` Equation of the required line is `y-2=(1)/(3)(x-2)`
`rArr3y-6=x-2`
`rArr x-3y+4=0`
For y-intercept put `x=0`.
`0-3y+4=0`
`rArr y=(4)/(3)`