Question

Find the equation of the straight line cutting off an intercept of length 5 from the y - axis and equally inclined to the axes

Answer 1

y-intercept $b=-5$ and it is being equally inclined to the axes.

So, x-intercept $a=5$

Equation of line :$\frac{x}{a}$$+\frac{y}{b}=1$

$\frac{x}{5}+\frac{y}{-5}=1$

$\Rightarrow x-y=5$

$\Rightarrow x-y-5=0$ is the required equation.