Finding the asymptotes of a hyperbola Given the hyperbola x^2/16 - y^2/9 =1 what would the equation of the asymptotes be?

hazbijav6

hazbijav6

Answered question

2022-10-08

Finding the asymptotes of a hyperbola
Given the hyperbola y 2 / 9 what would the equation of the asymptotes be?

Answer & Explanation

Emmanuel Russo

Emmanuel Russo

Beginner2022-10-09Added 9 answers

Hint: Any hyperbola of the form
x 2 a 2 y 2 b 2 = 1
has asymptotes given by the lines
y = ± b a x
In your case, a = 16 = 4, and b = 9 = 3.
Tabitha Doyle

Tabitha Doyle

Beginner2022-10-10Added 1 answers

The asymptotes are
y = ± 3 4 x
Now your work is to justify why....

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