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If a line makes an angle of 30
∘
with the positive direction of the y-axis measured anticlockwise, then the angle made by the line with the positive direction of the x-axis measured anticlockwise is 90
∘
+30
∘
=120
∘
.
Thus, the slope of the given line is
tan120
∘
=tan(180
∘
−60
∘
) =−tan60
∘
=−
3
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