Question

Equation of line(s) passing through (0, -2) which is/are equally inclined to the coordinate axes will be

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

Answer 1

Answer: (A), (D)

The correct options are
A y = x-2
D y = -x-2

As line passes through (0, -2), the Y-intercept = -2.
Also, the line is equally inclined to the coordinate axes.
$\therefore$ $\theta$ = 45$°$ or 135$°$.
$⟹$ slope, i.e., m = 1 or m = -1.
Therefore, y = x-2
or y = -x-2