SOLUTION: The obtuse angle b/w the line y=-2 and y=x+2

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Question 985866: The obtuse angle b/w the line y=-2 and y=x+2
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
The obtuse angle b/w the line y=-2 and y=x+2

The slope of y=-2 is m=0 because in slope-intercept form it's y = 0x-2, and
the coefficient of x is 0.

The slope of y=x+1 is m=1 because the coefficient of x is 1


tan%28theta%29%22%22=%22%22%22%22+%2B-+abs%28%28%28m%5B1%5D-m%5B2%5D%29%2F%281%2Bm%5B1%5Dm%5B2%5D%29%29%29+, taken positive when we want the acute angle, 
and negative when we want the obtuse angle. 

tan%28theta%29%22%22=%22%22%22%22+%2B-+%28%280-1%29%2F%281%2B0%2A1%29%29+
tan%28theta%29%22%22=%22%22%22%22+%2B-+1+

We take the negative value since we want the obtuse angle:

theta+=+%22135%B0%22

 


Edwin