SOLUTION: For the line 3x+2y-5=0, find the obtuse angle the line that makes with the positive direction of the x-axis.

Algebra ->  College  -> Linear Algebra -> SOLUTION: For the line 3x+2y-5=0, find the obtuse angle the line that makes with the positive direction of the x-axis.      Log On


   

Question 1101043: For the line 3x+2y-5=0, find the obtuse angle the line that makes with the positive direction of the x-axis.
Found 2 solutions by Alan3354, Boreal:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
For the line 3x+2y-5=0, find the obtuse angle the line that makes with the positive direction of the x-axis.
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find the slope of the line.
The tangent of the angle is the slope.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
slope intercept form is
first 2y=-3x+5
y=(-3/2)x+2.5
The slope is -1.5
graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C-1.5x%2B2.5%29
The x-intercept is where y=0 and is 1.5x=2.5, x=5/3
The y-intercept is where x=0 and is y=2.5
the acute angle made has a tangent of 2.5/(5/3)=1.5
arc tan (1.5)=56.31 deg
the obtuse angle is the supplement or 123.69 deg