Question

The equation of a straight line which passes through the point $(1,-2)$ and cuts off equal intercept from axes will be:

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

Answer 1

The correct option is C $x+y+1=0$

$\frac{x}{a}+\frac{y}{b}=1$

$\Rightarrow x+y=a$

$1+(-2)=a$

$\Rightarrow a=-1$

Hence the equation of line $x+y=-1$

$x+y+1=0$.