Find the equation of a straight line which makes an angle of `tan^(-1)sqrt(2)` with the x-axis and cuts off an intercept of `=3/(sqrt(2))` with the y-axis

Explanation

Equation of a straight line can be given as,

`y = mx+c`

Here, `y-` intercept `(c)= 3/sqrt2`

`theta = tan^-1(sqrt2)`

`=>tantheta = sqrt2`

`:. m = tan theta = sqrt2`

`:.` Equation of the line,

`y = sqrt2x+3/sqrt2`

...