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