Question

Find the equation of a line which makes an angle of $ta{n}^{-1}$ (3) with the x-axis and cuts off an intercept of 4 units on negative direction of y-axis.

Answer 1

$\text{Let m be the slope of the regd. line.}\theta =ta{n}^{-1}3\Rightarrow m=tan\theta =3\text{Intercept in negtive direction of}y-axisis(0,-4)\text{Hence, required equation of line is}y=mx+c\Rightarrow y=3x-4$