The equation of the line passing through the point `(1,2)` and perpendicular to the line `x+y+1=0` is

Options

A. `y-x+1=0`
B. `y-x-1=0`
C. `y-x+2=0`
D. `y-x-2=0`

Answer

B

Explanation

Given point is (1,2)and slope of the required line is 1.
`because x+y+1=0rArry=-x-1rArrm_1=-11`
`therefore ` slope of the line `=(-1)/(-1)=1`
`therefore` Equation of required line is `y-2=1(x-1)`
`rArry-2=x-1`
`rArry-x-1=0`