Question

Angles made by the line with the positive direction of X-axis are given. Find the slope of these lines. 

i. 45° 

ii. 60° 

iii. 90°

Answer 1

i. Angle made with the positive direction of 

X-axis (θ) = 45° 

Slope of the line (m) = tan θ 

∴ m = tan 45° = 1 

∴ The slope of the line is 1.

ii. Angle made with the positive direction of 

X-axis (θ) = 60° 

Slope of the line (m) = tan θ

∴ m = tan 60° = √3

∴ The slope of the line is √3

iii. Angle made with the positive direction of 

X-axis (θ) = 90° 

Slope of the line (m) = tan θ 

∴ m = tan 90° 

But, the value of tan 90° is not defined. 

∴ The slope of the line cannot be determined.