Question

Find the equation of the straight line which passes through (1, - 2) and cuts off equal intercepts on the axes

Answer 1

$\text{The equation of the line cutting off equal intercepts 'a' on the coordinate is}\frac{x}{a}+\frac{y}{b}=1\Rightarrow \frac{x}{a}+\frac{y}{a}=1\Rightarrow x+y=a\text{The line x + y = a passes through (1, -2)}\therefore 1-2=a\Rightarrow a=-1\text{Hence, the equation of the line is}x+y=-1$