How do I find the inclination θ (in radians and degrees) of the line? 6x - 6y + 7 = 0.

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Answer 1 · 2017-12-01T18:13:29

equation of line is
#6x - 6y + 7 = 0#

Expressing it in the slope intercept form

#y=mx+c#
where #m=tantheta# is slope of the line

Dividing both sides by #6# and rearranging we get

#(6x - 6y + 7 = 0)/6#
#=>y=x -7/6#

Comparing we the given form we get

#tan theta=m=1#
#=>theta=tan^-1 1=45^@#

We know that #pi# radians #=180^@#
Therefore, #45^@=pi/4# radians