What is the acute angle made by the line 3x - 2y = 10 with the positive x-axis.

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justaguide | College Teacher | (Level 2) Distinguished Educator

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The equation of the line is 3x - 2y = 10. In the slope intercept form this equation can be written as:

3x - 2y = 10

=> 2y = 3x - 10

=> y = (3/2)*x - 5

The slope of the equation is 3/2. This is the tangent of the angle made with the positive x-axis.

`tan theta = 1.5`

=> `theta` `~~` 56.30

The line makes an angle of 56.3 degrees with the positive x-axis

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