Question

Find the angle between the x-axis and the line joining the points3, -1and4,-2​

Answer 1

Step-by-step explanation:

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

=−2+1=−1

Now the inclination (θ) of the line joining the points (3,1) and (4,2) is given by tanθ=−1

⇒θ=(90 ∘ +45 ∘ )=135 ∘

A slope of the line is an inclination with the x-axis.

Thus, the angle between x-axis and the line joining the points (3,1) and (4,2) is 135