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.

Home » 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,

$2x\text{ }+\text{ }y\text{ }+\text{ }6\text{ }=\text{ }0$

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