What is the angle between the positive horizontal axis and the line containing the points (2,3) and (9,7)?

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11-02-2021
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What is the angle between the positive horizontal axis and the line containing the points (2,3) and (9,7)?

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10011813 10011813 · Answer 1 · 2021-02-11T02:57:03+01:00

Answer:

What is the angle between the positive horizontal axis and the line containing the points (9,7) and (10,10)?

I do not understand how to find the line from the two points, and then the angle

..

If you would plot these two points, you would notice a small right triangle is formed with the line connecting the points is the hypotenuse, a horizontal leg of =10-9=1, and a vertical leg of 10-7=3.

This gives the line a slope of 3/1=3 which is equal to the tangent of the angle which is equal to the angle you are trying to find.

Using a calculator,

arctan(3)=71.57 deg (ans)

Explanation:

ahsan57900 ahsan57900 · Answer 2 · 2021-11-21T10:25:45+01:00

The angle between the positive horizontal axis and the line is 60 to 75 degrees.

The angle between the positive horizontal axis and the line that contains the points (2,3) and (9,7) is between 60 to 75 degrees because the point i.e. 2 and 9 are present at x-axis whereas point 3 and 7 are present y-axis. The line is moving in the upward direction which makes an angle of more than 60 degrees according to the coordinates.

The line is not even straight due to uneven coordinates such as in the (2,3) coordinates the value of x is lower than y and in (9,7) the value of x is higher than y so the angle is not fixed that's why we can conclude that the angle between the positive horizontal axis and the line is 60 to 75 degrees.

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