Question

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

Answer 1

Answer is 45 degree

Answer 2

Answer:

The answer to your question is Ф = 45°

Step-by-step explanation:

Data

A (1, 4)

B (-1, 2)

Process

1.- Find the slope of the line

formula

m = $\frac{y2 - y1}{x2 - x1}$

Substitution

m = $\frac{2 - 4}{-1 - 1} = \frac{-2}{-2} = 1$

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°