Question

Find the slope of a line whose inclination is 150 degree

Answer 1

Answer:

- 1/√3

Step-by-step explanation:

Slope = m = tan Ф

Given Ф = 150°

Hence m = tan 150°

⇒ m = tan ( 180° - 30° )

⇒ m = - tan 30°

⇒ m = - 1/√3

The slope will be negative here.

Answer 2

Given:

• Inclination of the line, θ = 150°

To Find:

• The slope of the line.

Solution:

• We already have a standard formula to find the slope of the line.
• Slope, m = tan(θ), where m is said to be the slope of the line.
• Substituting the value of theta in the formula we get,
• m = tan(150°)
• m = tan(180°-30°)  [Using one of the trigonometric identity]
• m = - tan(30°)°=  $-\frac{1}{\sqrt{3} }$  
• Slope, m =  $-\frac{1}{\sqrt{3} }$  

∴ The slope of the line = $-\frac{1}{\sqrt{3} }$