Question

Let a straight line has equal intercepts from the axes. If the sum of the intercepts is equal to $18$, then find the equation of the line.

Answer 1

Let, the equation of the straight line be

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

According to the problem,

$2a=18$

or, $a=9$

So, the equation of the line be $x+y=9$.