Find the slope of a line whose inclination is

(i) 30°


(ii) 120°


(iii) 135°


(iv) 90°


We know that the slope of a given line is given by

Slope = Where angle of inclination


(i) Given that θ = 30°


Slope = tan(30°) =


(ii) Given that θ = 120°


Slope = tan(120°) = tan(90°+30°) = -cot(30°) =


(iii) Given that θ = 135°


Slope = tan(135°) = tan(90°+45°) = -cot(45°)


(iv) Given that θ = 90°


Slope = tan(90°) = ∞


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