(1) Given angle made by line with positive direction of X axis, = 45˚.
Slope of the line ,m = tan
m = tan 45˚ = 1
Hence slope of the line is 1.
(2) Given angle made by line with positive direction of X axis, = 60˚.
Slope of the line ,m = tan
m = tan 60˚ = √3
Hence slope of the line is √3.
(3) Given angle made by line with positive direction of X axis, = 90˚.
Slope of the line ,m = tan
m = tan 90˚ = not defined
Hence slope of the line cannot be determined.