Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,435 questions

17,804 answers

1,438 comments

774,946 users

find the inclination angle

0 votes

Find the inclination (in radians and degrees) of the line passing through the points.

(√3,2)(0,1)

asked Oct 28, 2013 in GEOMETRY by chrisgirl Apprentice

1 Answer

0 votes

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

The given points are (√3,2) (0,1)

Slope formula is (y2-y1)/(x2-x1)

Substitute the values in slope formula

m = (1 - 2)⁄(0 - √3)                     ((x1,y1)=(√3,2)and(x2,y2) = (0,1))

m = -1⁄ - √3                              (Simplify)

m = 1⁄ √3

The slope intercept form is y = 1⁄ √3 x + b

Slope = 1⁄ √3

m =  1⁄ √3

Re call m = tanθ, where θ is inclination angle

m = tanθ =1⁄ √3                   

θ = 300 or -1200and 30 × ∏/180

θ = 300 or  -1200 and 30 × 3.14/180 

θ = 300 or  -1200 and 0.52 (radians)              (Simplify)

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

So, inclination angle is 300

 

answered Oct 28, 2013 by rob Pupil

Related questions

...