Determine the equation

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

Problem

Determine the equation, in slope–intercept form, of the line that passes through the point (3,−2)(3,-2) and makes an angle of 150∘150^{\circ} with the positive xx-axis. (a) y=33x−(2+3)y = \dfrac{\sqrt{3}}{3}x - (2+\sqrt{3}) (b) y=−33x−(2+3)y = -\dfrac{\sqrt{3}}{3}x - (2+\sqrt{3}) (c) y=−33x+(3−2)y = -\dfrac{\sqrt{3}}{3}x + (\sqrt{3}-2) (d) y=−3 x+(33−2)y = -\sqrt{3}\,x + (3\sqrt{3}-2)

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