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gulaghasi [49]
4 years ago
5

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

Mathematics
2 answers:
Oksanka [162]4 years ago
6 0
Answer is 45 degree
Allisa [31]4 years ago
4 0

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°

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