Question

What are the equations of the asymptotes for this hyperbola? x^2/25-y^2/4=1

Answer 1

a^2 = 25 ==> a = 5
b^2 = 4 ==> b = 2

That's about all you need.

Answer 2

\[\large \frac{x^2}{25}-\frac{y^2}{4}=1 \] so the slopes of the asymptotes of a hyperbola opening up and down are \[\large \pm \frac{b}{a}\]\(b=2 , a=5\)

Answer 3

opening left and right*

Answer 4

Thank you!