find the inclination angle

Question

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

m=1

Answer 1

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

Here the given  slope m = 1

the slope - intercept is y = 1x + b

Slope = 1

m =1

Re call m = tanθ, where θ is inclination angle

m = tanθ = 1

θ = 45^o   or  -135^o and 45 × ∏/180 or -135× ∏/180

sustitute the value of ∏ = 3.14

θ = 45^o   or  -135^o and 45 × 3.14/180  or -135× 3.14/180

θ = 45^o   or  -135^o and 0.785 or -2.355  (radians)          (Simplify)

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

So, inclination angle is  45^o.

Comments

Therefore, the inclination angle is  45^o (or) 0.785 radians.