Friday, 26 September 2014

`6x - 2y + 8 = 0` Find the inclination 'theta' (in radians and degrees) of the line.

Given `6x-2y+8=0`


Find the slope of the line.


`6x-2y+8=0`


`-2y=-6x-8`


`y=3x+4`


The slope of the line is 3.



Find the angle of inclination.


`theta=arctan(3)=71.6^@=1.2490` radians



The angle of inclination of the line whose slope is 3 is 71.6 degrees or 1.2490 radians.



Given `6x-2y+8=0`


Find the slope of the line.


`6x-2y+8=0`


`-2y=-6x-8`


`y=3x+4`


The slope of the line is 3.



Find the angle of inclination.


`theta=arctan(3)=71.6^@=1.2490` radians



The angle of inclination of the line whose slope is 3 is 71.6 degrees or 1.2490 radians.



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