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 = -x + b

Slope = -1

m = -1

Re call m = tanθ, where θ is inclination angle

m = tanΘ = -1

Θ = 135⁰ or -45⁰ and 135 × ∏/180     

θ = -45° or  135° and 135 × 3.14/180

  θ = -45° or  135° and 3.15 (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 135⁰.

Comments

Therefore, the inclination angle is 135⁰ (or) 2.355radians.