Question

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

Answer 1

Let equation of line be $y=m(x-d)$
For the line intersecting the $x$-axis at the distance of $3$ units to the left of the origin, $d=-3$

It passes through $(-3,0).$
The slope of the line is given as $m=-2$
Thus, the required equation of the given line is,
$y=-2[x-(-3\left)\right]$
$\Rightarrow y=-2x-6$

$\Rightarrow 2x+y+6=0$