Homework Help Forum: Trig

Posted by Sarah on Sunday, October 4, 2009 at 5:29pm.

A line goes through points (2��3,-3) and (8��3,3). Find the equation of the line through these 2 points and the angle of incline (between the line and the x-axis).

• Trig - Reiny, Sunday, October 4, 2009 at 5:44pm

  The slope of your line is 6/(6√3) = 1/√3 Then, using the point (2√3,-3) y+3 = (1/√3)(x-2√3) cross-multiplying, expanding and then simplifying I got x - (√3)y = 5√3 or if we multiply this by √3 (√3)x - 3y = 15

  
  

• Trig - Reiny, Sunday, October 4, 2009 at 5:46pm

  the slope of the line is equal to the tangent of the angle that the line makes with the x-axis so tan(angle) = 1/√3 angle = 30� (from the ratios of the 30-60-90 triangle)

  
  

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