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Question
Find the acute angle between the X-axis and the line joining points A(3, −1) and B(4, −2).
Solution
Given: A(3, −1) and B(4, −2)
∴ Slope of line AB = m = `(-2 - ( - 1))/(4 - 3)`
= `(-2 + 1)/1`
= − 1
Let θ be the acute angle between the X-axis and the line AB.
∴ m = tan θ, which is positive
∴ tan θ = |− 1| = 1 = tan 45°
∴ θ = 45°
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