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

Q : 10        Find the angle between the x-axis and the line joining the points (3,-1) and  (4,-2). 

Answers (1)

best_answer

We know that
m = \tan \theta
So, we need to find the slope of line joining points (3,-1) and (4,-2)
Now,
m = \frac{y_2-y_1}{x_2-x_1}= \frac{-2+1}{4-3} = -1
\tan \theta = -1
\tan \theta = \tan \frac{3\pi}{4} = \tan 135\degree
\theta = \frac{3\pi}{4} = 135\degree
Therefore, angle made by line with positive x-axis when measure in anti-clockwise direction is 135\degree
 

Posted by

Gautam harsolia

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