find the inclination angle

Question

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

m=2

Answer 1

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

Here the given  slope m = 2

the slope - intercept is y = 2 x + b

Slope = 2

m = 2

Re call m = tanθ, where θ is inclination angle

m = tanθ = 2

θ =63⁰ or  -153^o

Now θ =radians

 θ =63×3.14/180                (3.14= pi value)

θ =1.099 radians

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

So, inclination angle is  63⁰.

Comments

Therefore, the inclination angle is 63.34⁰ (or) 1.106 radians.