Question

What is the equation of line passing through (0, 1) and making an angle with the y-axis equal to the inclination of the line x - y = 4 with x-axis ?

• A. y = x + 1
• B. x = y + 1
• C. 2x = y + 2
• D. None of the above

Answer 1

The correct option is A y = x + 1

The equation $x-y=4$, makes angle $45$ degree with the X-axis. So the angle of required line with Y-axis will be $45$ degree and so It makes angle $45$ degree with X-axis also. And it passes through $(0,1)$, So equation is

$y-1=1\times (x-0)$

$y=x+1$