The slope of a straight line is

MATHEMATICS · Subjective · A Level · Mathematics · Coordinate geometry in the (x y) plane · Coordinate geometry in the (x y) plane

Problem

The slope of a straight line is −13-\dfrac{1}{\sqrt{3}}. Without performing any trigonometric calculation, identify the interval in which its angle of inclination θ\theta lies: (A) 0∘<θ<90∘0^{\circ} < \theta < 90^{\circ}, (B) 90∘<θ<180∘90^{\circ} < \theta < 180^{\circ}, or (C) 180∘<θ<270∘180^{\circ} < \theta < 270^{\circ}. State the correct option (A, B, or C).

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