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Question
Find the angle between the x-axis and the line joining the points (3, –1) and (4, –2).
Solution
The slope of the line joining the points (3, -1) and (4, -2) is m = `(-2-(-1))/(4 - 3) = -2 + 1 -1`
Now, the inclination (θ ) of the line joining the points (3, –1) and (4, – 2) is given by
tan θ= –1
⇒ θ = (90° + 45°) = 135°
Thus, the angle between the x-axis and the line joining the points (3, –1) and (4, –2) is 135°.
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