Question

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

Answer 1

The slope of the line joining the points (3, –1) and (4, –2) is

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°.