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Find the slope of the line, which makes an angle of 30° with the positive direction of y-axis measured anticlockwise.

Q: 7         Find the slope of the line, which makes an angle of  30^{\circ} with the positive direction of  y-axis measured anticlockwise.

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It is given that the line makes an angle of  30^{\circ} with the positive direction of  y-axis measured anticlockwise
Now, we know that 
m = \tan \theta
line makes an angle of  30^{\circ} with the positive direction of  y-axis 
Therefore, the angle made by line with the positive x-axis is = 90^{\degree}+30^{\degree}= 120\degree
Now,
m = \tan 120\degree = -\tan 60\degree = -\sqrt3
Therefore, the slope of the line is -\sqrt3
 

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