Question

find the slope of the line making the 150 degree angle with the positive direction of x-axis​

Answer 1

Step-by-step explanation:

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Answer 2

The slope of the line making the 150° angle with the positive direction of x - axis is - 1/√3

Given :

A line makes an 150° angle with the positive direction of x - axis

To find :

The slope of the line

Concept :

The slope of the line making an angle θ with the positive direction of x - axis is m = tan θ

Solution :

Step 1 of 2 :

Write down the angle

Here it is given that the line makes an 150° angle with the positive direction of x - axis

So we have θ = 150°

Step 2 of 2 :

Find slope of the line

The required slope of the line

= m

= tan θ

= tan 150°

= tan ( 180° - 30° )

= - tan 30°

= - 1/√3

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