Find the equation of a line with slope 2 and the length of the perpendicular form the origin equal to `sqrt(5)` .

Explanation

Equation of a line in slope-intercept form is,

`y=mx+c`

Given, the slope `=2`

`implies y=2x+c`

`implies 2x-y+c=0`

Its perpendicular distance from origin `=sqrt5` units.

We know that the perpendicular distance of point ` (x_1,y_1)` from line `ax+by+c=0` is,

`=|frac{ax_1+by_1+c}{sqrt{a^2+b^2}}|`

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