Find the equation of the line which satisfying the given conditions:
intersecting the y-axis at a distance of 2 units above the origin and making an angle of `30^(@)` with positive direction of the x-axis.

In the following , find the equation of the line which satisfy the given conditions: Intersecting the y-axis at a distance of 2 units above the origin and making an angle of 30^@ with positive direction of the x-axis.

Write down a unit vector in XY-plane, making an angle of 30^o with the positive direction of x-axis.

In the following , find the equation of the line which satisfy the given conditions: Intersecting the x-axis at a distance of 3 units to the left of origin with slope -2.

Find the equation of a line through the origin, which makes an angle of 45^@ with the positive direction of x-axis.

Find slope of the line that makes angle (2pi)/3 with the positive direction of x-axis.

Find the equation of the family of lines satisfying the following condition : passing through the origin .

Find the equation of the line, which intersects : the x-axis at a distance of 3 units to the left of origin with slope −2.