Question

give the equation of the asymptotes for the hyperbola y^2/36 - x^2/4 = 1

Answer 1

first find the center...(h,k)...you know how to do that?

Answer 2

since this equation is already in standard form, it is easy to see the slope of the asymptotes from the formula...\[\pm b \div a\]

Answer 3

now we have enough info to plug into the y-intercept equation: y=mx+b; since the center(h,k) is really the x and y, b=0, m=3(from above) and:
y=3x+0 or y=3x for the equation