Question

Find the equations of the lines for which $\tan \theta =\frac{3}{5},$ where $\theta$ is the angle of inclination of the line and $x-$intercept is $-8$

Answer 1

$x-$intercept is $-8$

Using slope intercept form, the equation of the line is $y=m(x-d)$

$y=\frac{3}{5}(x+8)$

$\Rightarrow 5y=3x+24$

$\therefore$ equation of the line is $3x-5y+24=0$