Wednesday, August 21, 2013

`(1/4, 3/2), (1/3, 1/2)` Find the inclination 'theta' (in radians and degrees) of the line with slope m.

Given `(1/4,3/2), (1/3, 1/2)`


Find the slope of the line passing through the two points using the formula


`m=(y_2-y_1)/(x_2-x_1)`


`m=(1/2-3/2)/(1/3-1/4)` =-12


The slope of the line is -12.



Find the inclination.


`theta=arctan(-12)=94.8^@=1.6539` radians.



The inclination is 94.8 degrees or 1.6539 radians.

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