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, m_AB =

m_{AB =} – 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 = 135^o

Hence, The angle between the x - axis and the line is 135⁰.