Question

The equation of the line with inclination ${45}^0$ and passing through the point (-1, 2) is

• A. $x+y+3=0$
• B. $x-y+3=0$
• C. $x-y-3=0$
• D. $x+y-3=0$

Answer 1

The correct option is B $x-y+3=0$

Equation of line
$y-y_1=m(x-x_1)$
$m=tan{45}^o=1$
$\therefore y-y_1=(x-x_1)$
Since line passes through (-1,2), equation becomes
$\Rightarrow y-2=(x+1)$
$\Rightarrow x-y+3=0$
Hence, option $B$ is the correct answer.