Question

The equation of the line which has the equal intercept from the co-ordinate axes and the sum of the intercepts is $8$, is

• A. $x+y=4$
• B. $2x+y=6$
• C. $x+2y=6$
• D. $3x-y=4$

Answer 1

The correct option is A $x+y=4$

Let the equation of the line be $x+y=a$ where $a$ is the equal intercept made by the line to the co-ordinate axes.

According to the problem we've,

$2a=8$

or, $a=4$.

So the equation of the line is $x+y=4$.