Question

Find the equation of the line which is intersecting the $x$-axis at a distance of $3$ units to the left of origin with slope $–2.$

Answer 1

We know that the equation of a line whose slope is $m$ and $x$- intercept $d$ is $y=m(x-d)$
Here, $m=-2$ and $d=-3$
$\therefore$ Equation of the line is $y=-2(x+3)$
$\Rightarrow y=-2x-6$
$\Rightarrow 2x+y+6=0$