Question

Find the equations of the lines for which $\tan \theta =\frac{1}{4}$, where $\theta$ is the angle of inclination of the line and $y-$ intercept is $\frac{-3}{2}$

Answer 1

Slope of the line is $m=\tan \theta =\frac{1}{4}$

Using slope-intercept form, the equation is $y=mx+c$

$y=\frac{1}{4}x+\frac{-3}{2}$

$\Rightarrow 4y=2x-3$

$\therefore$equation of the line is $2x-4y-3=0$