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Find the angle between the x-axis and the line joining the points (3, –1) and (4, –2).

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Question

Find the angle between the x-axis and the line joining the points (3, –1) and (4, –2).

Sum
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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°.

Angle between the line and the x-axis 45∘​

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Chapter 9: Straight Lines - EXERCISE 9.1 [Page 159]

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NCERT Mathematics [English] Class 11
Chapter 9 Straight Lines
EXERCISE 9.1 | Q 9. | Page 159

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