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