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Find the equation of a line making an angle of 150° with the x–axis and cutting off an intercept 2 from y–axis.

A line which makes an angle of 150^o with the x–axis and cutting off an intercept at 2.

To Find: The equation of that line.

Formula used: The equation of a line is y = mx + c

Explanation: Here, angle, θ = 150^o

SO, The slope of the line, m = tan θ

m = tan 150^o

m =

Coordinate of y–intercept is (0, 2)

The required equation of the line is y = mx + c

Hence, The equation of line is .

Find the equation of the line which is equidistant from the lines x = –2 and x = 6.

Find the equation of a line equidistant from the lines y = 10 and y = – 2.

Find the equation of a straight line:

(i) with slope 2 and y – intercept 3;

(ii) with slope – 1/ 3 and y – intercept – 4.

(iii) with slope – 2 and intersecting the x–axis at a distance of 3 units to the left of origin.

Find the equations of the bisectors of the angles between the coordinate axes.