Question

Find the equations of the straight lines which cutt of an intercept $5$ from the $y-$axis and are equally inclined to the axes.

Answer 1

Since lines are equally inclined to axes, slope of line= ${}_{-}^{+}1$

equation of line,

$y{=}_{-}^{+}x+C$

y- intercept= $5$

So, value of C= $5$

Equation of line , $y{=}_{-}^{+}x+5$