Find the angle that the line through the given pair of points makes with the positive direction of the x-axis

(1,4) and (-1,2)

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

Step-by-step explanation:

Given:

Let

A(x₁ , y₁) = (1 , 4) and  

B( x₂ , y₂ ) = (-1 , 2)

To Find:

θ = ?

Solution:

Slope of a line when two points are given is given bt

Substituting the values we get

Also Slope of line when angle ' θ  ' is given as

Substituting Slope = 1 we get

We Know That for angle 45°,

tan 45 = 1

Therefore

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

step-by-step explanation:

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