(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 30^o with the positive direction of y - axis (Given)

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

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

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

m = – √3

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