Question 632706
  <pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi,
36 = 9x^2 – 4y^2
{{{x^2/2^2 - y^2/3^2 = 1}}}
 y = ± 3/2x
Standard Form of an Equation of an Hyperbola opening right and  left is:
  {{{(x-h)^2/a^2 - (y-k)^2/b^2 = 1}}} with C(h,k) and vertices 'a' units right and left of center,  
 & Asymptotes Lines passing thru C(h,k), with slopes  m =  ± b/a 
{{{drawing(300,300,   -6, 6, -6, 6,  grid(1),
graph( 300, 300, -6, 6, -6, 6,0, 1.5x,-1.5x, 3sqrt(x^2/4 - 1),-3sqrt(x^2/4 - 1)  ))}}}