Q. 194.4( 5 Votes )
Find the angle between X - axis and the line joining the points (3, – 1) and (4, – 2).
Answer :
Given, (3, – 1) and (4, – 2)
To find: Find the angle between x - axis and the line.
Explanation: We have two points A(3, – 1) and B(4, – 2).
The formula used: The slope of the line, m = 
Now, The slope of line AB, mAB = 
mAB = – 1
and, we know, The slope of x - axis is always 0
Now, the angle between x - axis and slope of line AB is,
θ = tan – 1 – 1
θ = 135o
Hence, The angle between the x – axis and the line is 1350.
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