Question

find the angle between the x axis and the line joining the points (-4,6) and (-3,7)
​

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

∘

.