Question

if the slope of a line is -1/√3 then its inclination is?

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Answer 1

Step-by-step explanation:

Tan ¤ = -1/root3

¤ = 4pi/3

Answer 2

Therefore the inclination of the line is 150°.

Given:

The slope of the line = -1/√3

To Find:

The inclination of the given line.

Solution:

The given question can be answered very easily as shown below.

Given that, the slope of the line = m = -1/√3

Slope of the line = ( y₂ - y₁ ) / ( x₂ - x₁ ) = tan θ

Where 'θ' is the angle of inclination or angle of the line with the x-axis.

So Slope of the line = m = tan θ

⇒ m = tan θ = -1/√3

⇒  θ = tan⁻¹ ( -1/√3 )

⇒  θ = 150°

Therefore the inclination of the line is 150°.

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