Q. 194.4( 5 Votes )

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

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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