SOLUTION: Find the inclination, to the nearest degree, of the line whose equation is 3x - 4y = 6.

Algebra ->  Trigonometry-basics -> SOLUTION: Find the inclination, to the nearest degree, of the line whose equation is 3x - 4y = 6.      Log On


   

Question 1138383: Find the inclination, to the nearest degree, of the line whose equation is 3x - 4y = 6.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

first find the slope , solve for y
3x++-++4y+=+6
3x++-++6+=+4y
y=3x%2F4++-++6%2F4
y=%283%2F4%29x++-++3%2F2->the slope is 3%2F4
Angle of Inclination:
+tan%28alpha%29=slope

+alpha=tan%5E-1%283%2F4%29

+alpha=36.87°
to the nearest degree:+alpha=37°