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Find equation of the line passing through point `(0,3)` and making an angle `(2pi)/(3)` with the positive x-axis. Also, find the equation of the line perllel to it and crossing the y axis at a distance of 3 units below the origin.

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The line/makes an angle `(2pi)/(3)` with x-axis and its y intercept is 3.

`m=tan(2pi)/(3)=tan120^(@)`
`=tan(90^(@)+30^(@))`
`=-cot30^(@)=-sqrt3`
`therefore` Its equation is
`y=mx+c`
`y=-sqrt3x+3`
`sqrt3x+y=3`
`sqrt3x+y-3=0`
Since line n is paraollel to l.
`therefore` its slope is also `-sqrt3`
and its incercept is `-3`
`therefore` The equation of line n is
`y=-sqrt3x+(-3)`
`sqrt3x+y+3=0`
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