find the inclination angle

Question

Find the inclination (in radians and degrees) of the line with slope m.

m=√3

Answer 1

The slope -intercept form is y = mx + b m is slope and b is y intercept

Here the given  slope m = √3

the slope - intercept is y = √3x + b

Slope = √3

m = √3

Re call m = tanθ, where θ is inclination angle

m = tanθ = √3

θ = 60⁰ or 150o

now θ in radians

 θ = 60×3.14/180                          (Simplify pi value is 3.14 )

 θ =1.04radians

Since the slope is positive Tangent sign should be positive, so the line passes through the I and III quadrant.

So, inclination angle is 60⁰.

Comments

Therefore, the inclination angle is 60⁰ (or) 1.04 radians.