Question

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)

Answer 1

Answer is 45 degree

Answer 2

The answer to your question is Ф = 45°

Explanation:

Data

A (1, 4)

B (-1, 2)

Process

1.- Find the slope of the line

formula

m =
`(y2 - y1)/(x2 - x1)`

Substitution

m =
`(2 - 4)/(-1 - 1) = (-2)/(-2) = 1`

Slope definition, is the steepness of a line and also is the tangent of the angle of the line.

tangent Ф = slope

tangent Ф = 1

Ф = tangent⁻¹ 1

Ф = 45°