Answer :

(i) Given, Line bisects the first quadrant

To Find: Find the slope of the line.


Here, If the line bisects in the first quadrant, then the angle must be between line and the positive direction of x - axis .


Since, Angle =


The formula used: The slope of the line, m = tan θ


Similarly, The slope of the line for a given angle is m = tan 45


m = 1


Hence, The slope of the line is 1.


(ii) To Find: Find the slope of the line.


Here, The line makes an angle of 30o with the positive direction of y - axis (Given)


Since Angle between line and positive side of axis = 90o + 30o = 120o


The formula used: The slope of the line, m = tan θ


Similarly, The slope of the line for a given angle is m = tan 120o


m = – √3


Hence, The slope of the line is – √3 .


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