Find the equation of a straight line: with slope – 2 and intersecting the x–axis at a distance of 3 units to the left of origin.
Find the equation of a straight line: with slope – 2 and intersecting the x–axis at a distance of 3 units to the left of origin.

With slope \[-\text{ }2\]and intersecting the x–axis at a distance of \[3\]units to the left of origin

The slope is \[-\text{ }2\] and the coordinates are \[\left( -\text{ }3,\text{ }0 \right)\]

Now, the required equation of line is \[y\text{ }-\text{ }{{y}_{1}}~=\text{ }m\text{ }(x\text{ }-\text{ }{{x}_{1}})\]

Substitute the values, we get

\[y\text{ }-\text{ }0\text{ }=\text{ }-\text{ }2\left( x\text{ }+\text{ }3 \right)\]

\[y\text{ }=\text{ }-\text{ }2x\text{ }-\text{ }6\]

So,

\[2x\text{ }+\text{ }y\text{ }+\text{ }6\text{ }=\text{ }0\]