Question

A line makes intercepts 3 and 3 on coordinate axes. Find the inclination of the line.

Answer 1

x intercept = 3

y intercept = 3

θ = ?

Slope = `(y_2 - y_1)/(x_2 - x_1) = (3 - 0)/(0 - 3) = 3/(-3) = -1`

m = -1

tanθ = `-tan  pi/4`

tan(π - θ) = -tanθ

tanθ = -1

tanθ = tan`(pi - pi/4)`

tanθ = `tan((4pi - pi)/4)`

tanθ = `tan  (3pi)/4`

θ = `(3pi)/4`