Question

Find the equation of the straight line which cuts off an intercept. $-5$ from the $y$ -axis and makes an angle of ${\sin }^{-1}\frac{12}{13}$ with the $x$ -axis.

Answer 1

The angle made by line is ${\sin }^{-1}\frac{12}{13}$

The slope of line is $\tan \left({\sin }^{-1}\frac{12}{13}\right)\tan \left({\tan }^{-1}\frac{12}{5}\right)=\frac{12}{5}$

The equation of line is given as $y=\frac{12}{5}x-55y=12x-2512x-5y-25=0$